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Finding the Fourth Proportional to 16,090.64, 24,152.64 and 9,854.96

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Solution

The fourth proportional to 16,090.64, 24,152.64 and 9,854.96 is: 14,792.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,090.64 : 24,152.64 = 9,854.96 : x
  2. Step 2: Convert to fraction form
    16,090.64/24,152.64 = 9,854.96/x
  3. Step 3: Cross multiply
    16,090.64x = 24,152.64 × 9,854.96
  4. Step 4: Simplify right side
    16,090.64x = 238,023,301.09
  5. Step 5: Solve for x
    x = 238,023,301.09/16,090.64
  6. Step 6: Final answer
    x = 14,792.66

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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.