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Finding the Fourth Proportional to 15,695.56, 23,544 and 4,009.12

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Solution

The fourth proportional to 15,695.56, 23,544 and 4,009.12 is: 6,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,695.56 : 23,544 = 4,009.12 : x
  2. Step 2: Convert to fraction form
    15,695.56/23,544 = 4,009.12/x
  3. Step 3: Cross multiply
    15,695.56x = 23,544 × 4,009.12
  4. Step 4: Simplify right side
    15,695.56x = 94,390,721.28
  5. Step 5: Solve for x
    x = 94,390,721.28/15,695.56
  6. Step 6: Final answer
    x = 6,013.85

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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.