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Finding the Fourth Proportional to 15,509.70, 21,406.47 and 9,220.86

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Solution

The fourth proportional to 15,509.70, 21,406.47 and 9,220.86 is: 12,726.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.70 : 21,406.47 = 9,220.86 : x
  2. Step 2: Convert to fraction form
    15,509.70/21,406.47 = 9,220.86/x
  3. Step 3: Cross multiply
    15,509.70x = 21,406.47 × 9,220.86
  4. Step 4: Simplify right side
    15,509.70x = 197,386,062.96
  5. Step 5: Solve for x
    x = 197,386,062.96/15,509.70
  6. Step 6: Final answer
    x = 12,726.62

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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.