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Finding the Fourth Proportional to 23,438.47, 32,345.10 and 12,828.16

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Solution

The fourth proportional to 23,438.47, 32,345.10 and 12,828.16 is: 17,702.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,438.47 : 32,345.10 = 12,828.16 : x
  2. Step 2: Convert to fraction form
    23,438.47/32,345.10 = 12,828.16/x
  3. Step 3: Cross multiply
    23,438.47x = 32,345.10 × 12,828.16
  4. Step 4: Simplify right side
    23,438.47x = 414,928,118.02
  5. Step 5: Solve for x
    x = 414,928,118.02/23,438.47
  6. Step 6: Final answer
    x = 17,702.87

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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.