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Finding the Fourth Proportional to 15,643.17, 23,463.59 and 4,549.95

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Solution

The fourth proportional to 15,643.17, 23,463.59 and 4,549.95 is: 6,824.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.17 : 23,463.59 = 4,549.95 : x
  2. Step 2: Convert to fraction form
    15,643.17/23,463.59 = 4,549.95/x
  3. Step 3: Cross multiply
    15,643.17x = 23,463.59 × 4,549.95
  4. Step 4: Simplify right side
    15,643.17x = 106,758,138.57
  5. Step 5: Solve for x
    x = 106,758,138.57/15,643.17
  6. Step 6: Final answer
    x = 6,824.58

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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.