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Finding the Fourth Proportional to 14,437.85, 21,656.77 and 6,117.68

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Solution

The fourth proportional to 14,437.85, 21,656.77 and 6,117.68 is: 9,176.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,437.85 : 21,656.77 = 6,117.68 : x
  2. Step 2: Convert to fraction form
    14,437.85/21,656.77 = 6,117.68/x
  3. Step 3: Cross multiply
    14,437.85x = 21,656.77 × 6,117.68
  4. Step 4: Simplify right side
    14,437.85x = 132,489,105.72
  5. Step 5: Solve for x
    x = 132,489,105.72/14,437.85
  6. Step 6: Final answer
    x = 9,176.52

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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.