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Finding the Fourth Proportional to 22,974.84, 31,703.04 and 12,900.99

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Solution

The fourth proportional to 22,974.84, 31,703.04 and 12,900.99 is: 17,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,974.84 : 31,703.04 = 12,900.99 : x
  2. Step 2: Convert to fraction form
    22,974.84/31,703.04 = 12,900.99/x
  3. Step 3: Cross multiply
    22,974.84x = 31,703.04 × 12,900.99
  4. Step 4: Simplify right side
    22,974.84x = 409,000,602.01
  5. Step 5: Solve for x
    x = 409,000,602.01/22,974.84
  6. Step 6: Final answer
    x = 17,802.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.