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Finding the Fourth Proportional to 14,089.61, 19,445.74 and 8,120.12

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Solution

The fourth proportional to 14,089.61, 19,445.74 and 8,120.12 is: 11,206.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,089.61 : 19,445.74 = 8,120.12 : x
  2. Step 2: Convert to fraction form
    14,089.61/19,445.74 = 8,120.12/x
  3. Step 3: Cross multiply
    14,089.61x = 19,445.74 × 8,120.12
  4. Step 4: Simplify right side
    14,089.61x = 157,901,624.76
  5. Step 5: Solve for x
    x = 157,901,624.76/14,089.61
  6. Step 6: Final answer
    x = 11,206.95

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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.