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Finding the Fourth Proportional to 14,459.04, 21,712.10 and 8,947.50

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Solution

The fourth proportional to 14,459.04, 21,712.10 and 8,947.50 is: 13,435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,459.04 : 21,712.10 = 8,947.50 : x
  2. Step 2: Convert to fraction form
    14,459.04/21,712.10 = 8,947.50/x
  3. Step 3: Cross multiply
    14,459.04x = 21,712.10 × 8,947.50
  4. Step 4: Simplify right side
    14,459.04x = 194,269,014.75
  5. Step 5: Solve for x
    x = 194,269,014.75/14,459.04
  6. Step 6: Final answer
    x = 13,435.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.