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Finding the Fourth Proportional to 17,688.38, 24,390.03 and 13,646.00

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Solution

The fourth proportional to 17,688.38, 24,390.03 and 13,646.00 is: 18,816.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,688.38 : 24,390.03 = 13,646.00 : x
  2. Step 2: Convert to fraction form
    17,688.38/24,390.03 = 13,646.00/x
  3. Step 3: Cross multiply
    17,688.38x = 24,390.03 × 13,646.00
  4. Step 4: Simplify right side
    17,688.38x = 332,826,384.77
  5. Step 5: Solve for x
    x = 332,826,384.77/17,688.38
  6. Step 6: Final answer
    x = 18,816.11

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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.