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Finding the Fourth Proportional to 17,887.60, 24,688.38 and 11,423.08

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Solution

The fourth proportional to 17,887.60, 24,688.38 and 11,423.08 is: 15,766.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,887.60 : 24,688.38 = 11,423.08 : x
  2. Step 2: Convert to fraction form
    17,887.60/24,688.38 = 11,423.08/x
  3. Step 3: Cross multiply
    17,887.60x = 24,688.38 × 11,423.08
  4. Step 4: Simplify right side
    17,887.60x = 282,017,339.81
  5. Step 5: Solve for x
    x = 282,017,339.81/17,887.60
  6. Step 6: Final answer
    x = 15,766.08

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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.