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Finding the Fourth Proportional to 22,463.13, 31,009.09 and 14,509.24

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Solution

The fourth proportional to 22,463.13, 31,009.09 and 14,509.24 is: 20,029.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,463.13 : 31,009.09 = 14,509.24 : x
  2. Step 2: Convert to fraction form
    22,463.13/31,009.09 = 14,509.24/x
  3. Step 3: Cross multiply
    22,463.13x = 31,009.09 × 14,509.24
  4. Step 4: Simplify right side
    22,463.13x = 449,918,252.71
  5. Step 5: Solve for x
    x = 449,918,252.71/22,463.13
  6. Step 6: Final answer
    x = 20,029.18

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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.