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Finding the Fourth Proportional to 15,430.50, 21,294.09 and 8,356.92

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Solution

The fourth proportional to 15,430.50, 21,294.09 and 8,356.92 is: 11,532.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,430.50 : 21,294.09 = 8,356.92 : x
  2. Step 2: Convert to fraction form
    15,430.50/21,294.09 = 8,356.92/x
  3. Step 3: Cross multiply
    15,430.50x = 21,294.09 × 8,356.92
  4. Step 4: Simplify right side
    15,430.50x = 177,953,046.53
  5. Step 5: Solve for x
    x = 177,953,046.53/15,430.50
  6. Step 6: Final answer
    x = 11,532.55

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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.