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Finding the Fourth Proportional to 14,392.59, 19,856.14 and 9,012.80

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Solution

The fourth proportional to 14,392.59, 19,856.14 and 9,012.80 is: 12,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,392.59 : 19,856.14 = 9,012.80 : x
  2. Step 2: Convert to fraction form
    14,392.59/19,856.14 = 9,012.80/x
  3. Step 3: Cross multiply
    14,392.59x = 19,856.14 × 9,012.80
  4. Step 4: Simplify right side
    14,392.59x = 178,959,445.70
  5. Step 5: Solve for x
    x = 178,959,445.70/14,392.59
  6. Step 6: Final answer
    x = 12,434.14

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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.