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Finding the Fourth Proportional to 14,533.47, 20,062.29 and 9,824.13

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Solution

The fourth proportional to 14,533.47, 20,062.29 and 9,824.13 is: 13,561.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,533.47 : 20,062.29 = 9,824.13 : x
  2. Step 2: Convert to fraction form
    14,533.47/20,062.29 = 9,824.13/x
  3. Step 3: Cross multiply
    14,533.47x = 20,062.29 × 9,824.13
  4. Step 4: Simplify right side
    14,533.47x = 197,094,545.06
  5. Step 5: Solve for x
    x = 197,094,545.06/14,533.47
  6. Step 6: Final answer
    x = 13,561.42

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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.