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Finding the Fourth Proportional to 15,415.74, 23,114.88 and 4,883.76

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Solution

The fourth proportional to 15,415.74, 23,114.88 and 4,883.76 is: 7,322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,415.74 : 23,114.88 = 4,883.76 : x
  2. Step 2: Convert to fraction form
    15,415.74/23,114.88 = 4,883.76/x
  3. Step 3: Cross multiply
    15,415.74x = 23,114.88 × 4,883.76
  4. Step 4: Simplify right side
    15,415.74x = 112,887,526.35
  5. Step 5: Solve for x
    x = 112,887,526.35/15,415.74
  6. Step 6: Final answer
    x = 7,322.87

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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.