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Finding the Fourth Proportional to 14,282.32, 19,708.98 and 7,909.48

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Solution

The fourth proportional to 14,282.32, 19,708.98 and 7,909.48 is: 10,914.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.32 : 19,708.98 = 7,909.48 : x
  2. Step 2: Convert to fraction form
    14,282.32/19,708.98 = 7,909.48/x
  3. Step 3: Cross multiply
    14,282.32x = 19,708.98 × 7,909.48
  4. Step 4: Simplify right side
    14,282.32x = 155,887,783.13
  5. Step 5: Solve for x
    x = 155,887,783.13/14,282.32
  6. Step 6: Final answer
    x = 10,914.74

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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.