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Finding the Fourth Proportional to 14,038.97, 19,373.76 and 8,071.80

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Solution

The fourth proportional to 14,038.97, 19,373.76 and 8,071.80 is: 11,139.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,038.97 : 19,373.76 = 8,071.80 : x
  2. Step 2: Convert to fraction form
    14,038.97/19,373.76 = 8,071.80/x
  3. Step 3: Cross multiply
    14,038.97x = 19,373.76 × 8,071.80
  4. Step 4: Simplify right side
    14,038.97x = 156,381,115.97
  5. Step 5: Solve for x
    x = 156,381,115.97/14,038.97
  6. Step 6: Final answer
    x = 11,139.08

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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.