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Finding the Fourth Proportional to 15,695.67, 23,543.44 and 9,856.38

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Solution

The fourth proportional to 15,695.67, 23,543.44 and 9,856.38 is: 14,784.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,695.67 : 23,543.44 = 9,856.38 : x
  2. Step 2: Convert to fraction form
    15,695.67/23,543.44 = 9,856.38/x
  3. Step 3: Cross multiply
    15,695.67x = 23,543.44 × 9,856.38
  4. Step 4: Simplify right side
    15,695.67x = 232,053,091.15
  5. Step 5: Solve for x
    x = 232,053,091.15/15,695.67
  6. Step 6: Final answer
    x = 14,784.53

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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.