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Finding the Fourth Proportional to 14,902.88, 20,564.94 and 8,931.56

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Solution

The fourth proportional to 14,902.88, 20,564.94 and 8,931.56 is: 12,324.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902.88 : 20,564.94 = 8,931.56 : x
  2. Step 2: Convert to fraction form
    14,902.88/20,564.94 = 8,931.56/x
  3. Step 3: Cross multiply
    14,902.88x = 20,564.94 × 8,931.56
  4. Step 4: Simplify right side
    14,902.88x = 183,676,995.51
  5. Step 5: Solve for x
    x = 183,676,995.51/14,902.88
  6. Step 6: Final answer
    x = 12,324.93

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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.