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Finding the Fourth Proportional to 14,427.10, 19,909.17 and 8,139.34

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Solution

The fourth proportional to 14,427.10, 19,909.17 and 8,139.34 is: 11,232.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,427.10 : 19,909.17 = 8,139.34 : x
  2. Step 2: Convert to fraction form
    14,427.10/19,909.17 = 8,139.34/x
  3. Step 3: Cross multiply
    14,427.10x = 19,909.17 × 8,139.34
  4. Step 4: Simplify right side
    14,427.10x = 162,047,503.75
  5. Step 5: Solve for x
    x = 162,047,503.75/14,427.10
  6. Step 6: Final answer
    x = 11,232.16

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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.