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Finding the Fourth Proportional to 14,141.64, 19,515.49 and 7,854.02

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Solution

The fourth proportional to 14,141.64, 19,515.49 and 7,854.02 is: 10,838.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.64 : 19,515.49 = 7,854.02 : x
  2. Step 2: Convert to fraction form
    14,141.64/19,515.49 = 7,854.02/x
  3. Step 3: Cross multiply
    14,141.64x = 19,515.49 × 7,854.02
  4. Step 4: Simplify right side
    14,141.64x = 153,274,951.19
  5. Step 5: Solve for x
    x = 153,274,951.19/14,141.64
  6. Step 6: Final answer
    x = 10,838.56

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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.