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Finding the Fourth Proportional to 22,477.30, 31,031.10 and 13,527

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Solution

The fourth proportional to 22,477.30, 31,031.10 and 13,527 is: 18,674.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,477.30 : 31,031.10 = 13,527 : x
  2. Step 2: Convert to fraction form
    22,477.30/31,031.10 = 13,527/x
  3. Step 3: Cross multiply
    22,477.30x = 31,031.10 × 13,527
  4. Step 4: Simplify right side
    22,477.30x = 419,757,689.70
  5. Step 5: Solve for x
    x = 419,757,689.70/22,477.30
  6. Step 6: Final answer
    x = 18,674.74

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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.