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Finding the Fourth Proportional to 28,314.69, 42,472.62 and 10,302.30

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Solution

The fourth proportional to 28,314.69, 42,472.62 and 10,302.30 is: 15,453.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,314.69 : 42,472.62 = 10,302.30 : x
  2. Step 2: Convert to fraction form
    28,314.69/42,472.62 = 10,302.30/x
  3. Step 3: Cross multiply
    28,314.69x = 42,472.62 × 10,302.30
  4. Step 4: Simplify right side
    28,314.69x = 437,565,673.03
  5. Step 5: Solve for x
    x = 437,565,673.03/28,314.69
  6. Step 6: Final answer
    x = 15,453.66

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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.