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Finding the Fourth Proportional to 15,698.88, 23,549.40 and 5,307.12

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Solution

The fourth proportional to 15,698.88, 23,549.40 and 5,307.12 is: 7,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,698.88 : 23,549.40 = 5,307.12 : x
  2. Step 2: Convert to fraction form
    15,698.88/23,549.40 = 5,307.12/x
  3. Step 3: Cross multiply
    15,698.88x = 23,549.40 × 5,307.12
  4. Step 4: Simplify right side
    15,698.88x = 124,979,491.73
  5. Step 5: Solve for x
    x = 124,979,491.73/15,698.88
  6. Step 6: Final answer
    x = 7,961.05

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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.