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Finding the Fourth Proportional to 22,463.05, 31,008.98 and 14,509.16

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Solution

The fourth proportional to 22,463.05, 31,008.98 and 14,509.16 is: 20,029.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,463.05 : 31,008.98 = 14,509.16 : x
  2. Step 2: Convert to fraction form
    22,463.05/31,008.98 = 14,509.16/x
  3. Step 3: Cross multiply
    22,463.05x = 31,008.98 × 14,509.16
  4. Step 4: Simplify right side
    22,463.05x = 449,914,024.67
  5. Step 5: Solve for x
    x = 449,914,024.67/22,463.05
  6. Step 6: Final answer
    x = 20,029.07

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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.