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Finding the Fourth Proportional to 28,384.38, 42,569.82 and 12,580.74

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Solution

The fourth proportional to 28,384.38, 42,569.82 and 12,580.74 is: 18,868.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,384.38 : 42,569.82 = 12,580.74 : x
  2. Step 2: Convert to fraction form
    28,384.38/42,569.82 = 12,580.74/x
  3. Step 3: Cross multiply
    28,384.38x = 42,569.82 × 12,580.74
  4. Step 4: Simplify right side
    28,384.38x = 535,559,837.27
  5. Step 5: Solve for x
    x = 535,559,837.27/28,384.38
  6. Step 6: Final answer
    x = 18,868.12

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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.