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Finding the Fourth Proportional to 16,411.61, 24,615.10 and 9,368.78

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Solution

The fourth proportional to 16,411.61, 24,615.10 and 9,368.78 is: 14,051.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.61 : 24,615.10 = 9,368.78 : x
  2. Step 2: Convert to fraction form
    16,411.61/24,615.10 = 9,368.78/x
  3. Step 3: Cross multiply
    16,411.61x = 24,615.10 × 9,368.78
  4. Step 4: Simplify right side
    16,411.61x = 230,613,310.08
  5. Step 5: Solve for x
    x = 230,613,310.08/16,411.61
  6. Step 6: Final answer
    x = 14,051.84

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1.5x scale

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.