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Finding the Fourth Proportional to 15,695.84, 23,542.32 and 5,307.68

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Solution

The fourth proportional to 15,695.84, 23,542.32 and 5,307.68 is: 7,961.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,695.84 : 23,542.32 = 5,307.68 : x
  2. Step 2: Convert to fraction form
    15,695.84/23,542.32 = 5,307.68/x
  3. Step 3: Cross multiply
    15,695.84x = 23,542.32 × 5,307.68
  4. Step 4: Simplify right side
    15,695.84x = 124,955,101.02
  5. Step 5: Solve for x
    x = 124,955,101.02/15,695.84
  6. Step 6: Final answer
    x = 7,961.03

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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.