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Finding the Fourth Proportional to 17,838.16, 24,614.76 and 10,284.40

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Solution

The fourth proportional to 17,838.16, 24,614.76 and 10,284.40 is: 14,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,838.16 : 24,614.76 = 10,284.40 : x
  2. Step 2: Convert to fraction form
    17,838.16/24,614.76 = 10,284.40/x
  3. Step 3: Cross multiply
    17,838.16x = 24,614.76 × 10,284.40
  4. Step 4: Simplify right side
    17,838.16x = 253,148,037.74
  5. Step 5: Solve for x
    x = 253,148,037.74/17,838.16
  6. Step 6: Final answer
    x = 14,191.38

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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.