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Finding the Fourth Proportional to 22,852.40, 31,526.16 and 14,892.80

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Solution

The fourth proportional to 22,852.40, 31,526.16 and 14,892.80 is: 20,545.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,852.40 : 31,526.16 = 14,892.80 : x
  2. Step 2: Convert to fraction form
    22,852.40/31,526.16 = 14,892.80/x
  3. Step 3: Cross multiply
    22,852.40x = 31,526.16 × 14,892.80
  4. Step 4: Simplify right side
    22,852.40x = 469,512,795.65
  5. Step 5: Solve for x
    x = 469,512,795.65/22,852.40
  6. Step 6: Final answer
    x = 20,545.45

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