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Finding the Fourth Proportional to 23,643.76, 32,630.34 and 13,574.15

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Solution

The fourth proportional to 23,643.76, 32,630.34 and 13,574.15 is: 18,733.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,643.76 : 32,630.34 = 13,574.15 : x
  2. Step 2: Convert to fraction form
    23,643.76/32,630.34 = 13,574.15/x
  3. Step 3: Cross multiply
    23,643.76x = 32,630.34 × 13,574.15
  4. Step 4: Simplify right side
    23,643.76x = 442,928,966.56
  5. Step 5: Solve for x
    x = 442,928,966.56/23,643.76
  6. Step 6: Final answer
    x = 18,733.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.