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Finding the Fourth Proportional to 55,713.64, 83,569.38 and 13,594

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Solution

The fourth proportional to 55,713.64, 83,569.38 and 13,594 is: 20,390.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,713.64 : 83,569.38 = 13,594 : x
  2. Step 2: Convert to fraction form
    55,713.64/83,569.38 = 13,594/x
  3. Step 3: Cross multiply
    55,713.64x = 83,569.38 × 13,594
  4. Step 4: Simplify right side
    55,713.64x = 1,136,042,151.72
  5. Step 5: Solve for x
    x = 1,136,042,151.72/55,713.64
  6. Step 6: Final answer
    x = 20,390.74

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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.