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Finding the Fourth Proportional to 14,657.36, 21,934.13 and 9,113.31

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Solution

The fourth proportional to 14,657.36, 21,934.13 and 9,113.31 is: 13,637.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.36 : 21,934.13 = 9,113.31 : x
  2. Step 2: Convert to fraction form
    14,657.36/21,934.13 = 9,113.31/x
  3. Step 3: Cross multiply
    14,657.36x = 21,934.13 × 9,113.31
  4. Step 4: Simplify right side
    14,657.36x = 199,892,480.70
  5. Step 5: Solve for x
    x = 199,892,480.70/14,657.36
  6. Step 6: Final answer
    x = 13,637.69

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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.