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Finding the Fourth Proportional to 16,211.52, 24,319.71 and 7,886.34

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Solution

The fourth proportional to 16,211.52, 24,319.71 and 7,886.34 is: 11,830.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,211.52 : 24,319.71 = 7,886.34 : x
  2. Step 2: Convert to fraction form
    16,211.52/24,319.71 = 7,886.34/x
  3. Step 3: Cross multiply
    16,211.52x = 24,319.71 × 7,886.34
  4. Step 4: Simplify right side
    16,211.52x = 191,793,501.76
  5. Step 5: Solve for x
    x = 191,793,501.76/16,211.52
  6. Step 6: Final answer
    x = 11,830.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.