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Finding the Fourth Proportional to 15,430.91, 21,295.07 and 9,459.15

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Solution

The fourth proportional to 15,430.91, 21,295.07 and 9,459.15 is: 13,053.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,430.91 : 21,295.07 = 9,459.15 : x
  2. Step 2: Convert to fraction form
    15,430.91/21,295.07 = 9,459.15/x
  3. Step 3: Cross multiply
    15,430.91x = 21,295.07 × 9,459.15
  4. Step 4: Simplify right side
    15,430.91x = 201,433,261.39
  5. Step 5: Solve for x
    x = 201,433,261.39/15,430.91
  6. Step 6: Final answer
    x = 13,053.88

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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.