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Finding the Fourth Proportional to 23,498.75, 32,426.15 and 13,427.15

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Solution

The fourth proportional to 23,498.75, 32,426.15 and 13,427.15 is: 18,528.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,498.75 : 32,426.15 = 13,427.15 : x
  2. Step 2: Convert to fraction form
    23,498.75/32,426.15 = 13,427.15/x
  3. Step 3: Cross multiply
    23,498.75x = 32,426.15 × 13,427.15
  4. Step 4: Simplify right side
    23,498.75x = 435,390,550.71
  5. Step 5: Solve for x
    x = 435,390,550.71/23,498.75
  6. Step 6: Final answer
    x = 18,528.25

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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.