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Finding the Fourth Proportional to 14,854.76, 20,501.34 and 8,567

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Solution

The fourth proportional to 14,854.76, 20,501.34 and 8,567 is: 11,823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.76 : 20,501.34 = 8,567 : x
  2. Step 2: Convert to fraction form
    14,854.76/20,501.34 = 8,567/x
  3. Step 3: Cross multiply
    14,854.76x = 20,501.34 × 8,567
  4. Step 4: Simplify right side
    14,854.76x = 175,634,979.78
  5. Step 5: Solve for x
    x = 175,634,979.78/14,854.76
  6. Step 6: Final answer
    x = 11,823.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.