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Finding the Fourth Proportional to 15,695.74, 23,543.62 and 5,837.50

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Solution

The fourth proportional to 15,695.74, 23,543.62 and 5,837.50 is: 8,756.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,695.74 : 23,543.62 = 5,837.50 : x
  2. Step 2: Convert to fraction form
    15,695.74/23,543.62 = 5,837.50/x
  3. Step 3: Cross multiply
    15,695.74x = 23,543.62 × 5,837.50
  4. Step 4: Simplify right side
    15,695.74x = 137,435,881.75
  5. Step 5: Solve for x
    x = 137,435,881.75/15,695.74
  6. Step 6: Final answer
    x = 8,756.25

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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.