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Finding the Fourth Proportional to 15,357.47, 23,032.09 and 9,471.02

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Solution

The fourth proportional to 15,357.47, 23,032.09 and 9,471.02 is: 14,203.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,357.47 : 23,032.09 = 9,471.02 : x
  2. Step 2: Convert to fraction form
    15,357.47/23,032.09 = 9,471.02/x
  3. Step 3: Cross multiply
    15,357.47x = 23,032.09 × 9,471.02
  4. Step 4: Simplify right side
    15,357.47x = 218,137,281.71
  5. Step 5: Solve for x
    x = 218,137,281.71/15,357.47
  6. Step 6: Final answer
    x = 14,203.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.