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Finding the Fourth Proportional to 15,980.24, 23,952.36 and 7,648.76

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Solution

The fourth proportional to 15,980.24, 23,952.36 and 7,648.76 is: 11,464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,980.24 : 23,952.36 = 7,648.76 : x
  2. Step 2: Convert to fraction form
    15,980.24/23,952.36 = 7,648.76/x
  3. Step 3: Cross multiply
    15,980.24x = 23,952.36 × 7,648.76
  4. Step 4: Simplify right side
    15,980.24x = 183,205,853.07
  5. Step 5: Solve for x
    x = 183,205,853.07/15,980.24
  6. Step 6: Final answer
    x = 11,464.52

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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.