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Finding the Fourth Proportional to 22,797.53, 31,461.12 and 14,300.01

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Solution

The fourth proportional to 22,797.53, 31,461.12 and 14,300.01 is: 19,734.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,797.53 : 31,461.12 = 14,300.01 : x
  2. Step 2: Convert to fraction form
    22,797.53/31,461.12 = 14,300.01/x
  3. Step 3: Cross multiply
    22,797.53x = 31,461.12 × 14,300.01
  4. Step 4: Simplify right side
    22,797.53x = 449,894,330.61
  5. Step 5: Solve for x
    x = 449,894,330.61/22,797.53
  6. Step 6: Final answer
    x = 19,734.35

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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.