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Finding the Fourth Proportional to 14,314.19, 19,753.78 and 8,648.15

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Solution

The fourth proportional to 14,314.19, 19,753.78 and 8,648.15 is: 11,934.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.19 : 19,753.78 = 8,648.15 : x
  2. Step 2: Convert to fraction form
    14,314.19/19,753.78 = 8,648.15/x
  3. Step 3: Cross multiply
    14,314.19x = 19,753.78 × 8,648.15
  4. Step 4: Simplify right side
    14,314.19x = 170,833,652.51
  5. Step 5: Solve for x
    x = 170,833,652.51/14,314.19
  6. Step 6: Final answer
    x = 11,934.57

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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.