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Finding the Fourth Proportional to 16,342.77, 24,489.93 and 9,319.17

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Solution

The fourth proportional to 16,342.77, 24,489.93 and 9,319.17 is: 13,964.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,342.77 : 24,489.93 = 9,319.17 : x
  2. Step 2: Convert to fraction form
    16,342.77/24,489.93 = 9,319.17/x
  3. Step 3: Cross multiply
    16,342.77x = 24,489.93 × 9,319.17
  4. Step 4: Simplify right side
    16,342.77x = 228,225,820.96
  5. Step 5: Solve for x
    x = 228,225,820.96/16,342.77
  6. Step 6: Final answer
    x = 13,964.94

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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.