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Finding the Fourth Proportional to 14,259.46, 19,677.92 and 7,886.34

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Solution

The fourth proportional to 14,259.46, 19,677.92 and 7,886.34 is: 10,883.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,259.46 : 19,677.92 = 7,886.34 : x
  2. Step 2: Convert to fraction form
    14,259.46/19,677.92 = 7,886.34/x
  3. Step 3: Cross multiply
    14,259.46x = 19,677.92 × 7,886.34
  4. Step 4: Simplify right side
    14,259.46x = 155,186,767.61
  5. Step 5: Solve for x
    x = 155,186,767.61/14,259.46
  6. Step 6: Final answer
    x = 10,883.07

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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.