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Finding the Fourth Proportional to 15,430.82, 21,294.51 and 8,357.18

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Solution

The fourth proportional to 15,430.82, 21,294.51 and 8,357.18 is: 11,532.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,430.82 : 21,294.51 = 8,357.18 : x
  2. Step 2: Convert to fraction form
    15,430.82/21,294.51 = 8,357.18/x
  3. Step 3: Cross multiply
    15,430.82x = 21,294.51 × 8,357.18
  4. Step 4: Simplify right side
    15,430.82x = 177,962,053.08
  5. Step 5: Solve for x
    x = 177,962,053.08/15,430.82
  6. Step 6: Final answer
    x = 11,532.90

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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.