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Finding the Fourth Proportional to 22,507.86, 31,053.27 and 14,560.14

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Solution

The fourth proportional to 22,507.86, 31,053.27 and 14,560.14 is: 20,088.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,507.86 : 31,053.27 = 14,560.14 : x
  2. Step 2: Convert to fraction form
    22,507.86/31,053.27 = 14,560.14/x
  3. Step 3: Cross multiply
    22,507.86x = 31,053.27 × 14,560.14
  4. Step 4: Simplify right side
    22,507.86x = 452,139,958.66
  5. Step 5: Solve for x
    x = 452,139,958.66/22,507.86
  6. Step 6: Final answer
    x = 20,088.09

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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.