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Finding the Fourth Proportional to 23,602.32, 32,569.97 and 12,989.90

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Solution

The fourth proportional to 23,602.32, 32,569.97 and 12,989.90 is: 17,925.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,602.32 : 32,569.97 = 12,989.90 : x
  2. Step 2: Convert to fraction form
    23,602.32/32,569.97 = 12,989.90/x
  3. Step 3: Cross multiply
    23,602.32x = 32,569.97 × 12,989.90
  4. Step 4: Simplify right side
    23,602.32x = 423,080,669.78
  5. Step 5: Solve for x
    x = 423,080,669.78/23,602.32
  6. Step 6: Final answer
    x = 17,925.38

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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.