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Finding the Fourth Proportional to 13,864.76, 19,128.52 and 7,894.86

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Solution

The fourth proportional to 13,864.76, 19,128.52 and 7,894.86 is: 10,892.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864.76 : 19,128.52 = 7,894.86 : x
  2. Step 2: Convert to fraction form
    13,864.76/19,128.52 = 7,894.86/x
  3. Step 3: Cross multiply
    13,864.76x = 19,128.52 × 7,894.86
  4. Step 4: Simplify right side
    13,864.76x = 151,016,987.41
  5. Step 5: Solve for x
    x = 151,016,987.41/13,864.76
  6. Step 6: Final answer
    x = 10,892.15

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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.