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Finding the Fourth Proportional to 23,599.59, 32,567.40 and 12,989.16

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Solution

The fourth proportional to 23,599.59, 32,567.40 and 12,989.16 is: 17,925.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,599.59 : 32,567.40 = 12,989.16 : x
  2. Step 2: Convert to fraction form
    23,599.59/32,567.40 = 12,989.16/x
  3. Step 3: Cross multiply
    23,599.59x = 32,567.40 × 12,989.16
  4. Step 4: Simplify right side
    23,599.59x = 423,023,169.38
  5. Step 5: Solve for x
    x = 423,023,169.38/23,599.59
  6. Step 6: Final answer
    x = 17,925.02

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Why These Related Problems?

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