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Finding the Fourth Proportional to 15,752.47, 23,607.91 and 7,421.08

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Solution

The fourth proportional to 15,752.47, 23,607.91 and 7,421.08 is: 11,121.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,752.47 : 23,607.91 = 7,421.08 : x
  2. Step 2: Convert to fraction form
    15,752.47/23,607.91 = 7,421.08/x
  3. Step 3: Cross multiply
    15,752.47x = 23,607.91 × 7,421.08
  4. Step 4: Simplify right side
    15,752.47x = 175,196,188.74
  5. Step 5: Solve for x
    x = 175,196,188.74/15,752.47
  6. Step 6: Final answer
    x = 11,121.82

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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.