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Finding the Fourth Proportional to 15,580.52, 21,498.16 and 9,293.48

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Solution

The fourth proportional to 15,580.52, 21,498.16 and 9,293.48 is: 12,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,580.52 : 21,498.16 = 9,293.48 : x
  2. Step 2: Convert to fraction form
    15,580.52/21,498.16 = 9,293.48/x
  3. Step 3: Cross multiply
    15,580.52x = 21,498.16 × 9,293.48
  4. Step 4: Simplify right side
    15,580.52x = 199,792,720.00
  5. Step 5: Solve for x
    x = 199,792,720.00/15,580.52
  6. Step 6: Final answer
    x = 12,823.24

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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.