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Finding the Fourth Proportional to 15,838.47, 23,762.98 and 5,309.53

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Solution

The fourth proportional to 15,838.47, 23,762.98 and 5,309.53 is: 7,966.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.47 : 23,762.98 = 5,309.53 : x
  2. Step 2: Convert to fraction form
    15,838.47/23,762.98 = 5,309.53/x
  3. Step 3: Cross multiply
    15,838.47x = 23,762.98 × 5,309.53
  4. Step 4: Simplify right side
    15,838.47x = 126,170,182.52
  5. Step 5: Solve for x
    x = 126,170,182.52/15,838.47
  6. Step 6: Final answer
    x = 7,966.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.