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Finding the Fourth Proportional to 18,403.92, 27,602 and 5,925.06

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Solution

The fourth proportional to 18,403.92, 27,602 and 5,925.06 is: 8,886.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,403.92 : 27,602 = 5,925.06 : x
  2. Step 2: Convert to fraction form
    18,403.92/27,602 = 5,925.06/x
  3. Step 3: Cross multiply
    18,403.92x = 27,602 × 5,925.06
  4. Step 4: Simplify right side
    18,403.92x = 163,543,506.12
  5. Step 5: Solve for x
    x = 163,543,506.12/18,403.92
  6. Step 6: Final answer
    x = 8,886.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.