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Finding the Fourth Proportional to 13,967.64, 19,275.68 and 7,594.61

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Solution

The fourth proportional to 13,967.64, 19,275.68 and 7,594.61 is: 10,480.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.64 : 19,275.68 = 7,594.61 : x
  2. Step 2: Convert to fraction form
    13,967.64/19,275.68 = 7,594.61/x
  3. Step 3: Cross multiply
    13,967.64x = 19,275.68 × 7,594.61
  4. Step 4: Simplify right side
    13,967.64x = 146,391,194.69
  5. Step 5: Solve for x
    x = 146,391,194.69/13,967.64
  6. Step 6: Final answer
    x = 10,480.74

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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.