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Finding the Fourth Proportional to 14,865.12, 22,278.12 and 8,294.40

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Solution

The fourth proportional to 14,865.12, 22,278.12 and 8,294.40 is: 12,430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,865.12 : 22,278.12 = 8,294.40 : x
  2. Step 2: Convert to fraction form
    14,865.12/22,278.12 = 8,294.40/x
  3. Step 3: Cross multiply
    14,865.12x = 22,278.12 × 8,294.40
  4. Step 4: Simplify right side
    14,865.12x = 184,783,638.53
  5. Step 5: Solve for x
    x = 184,783,638.53/14,865.12
  6. Step 6: Final answer
    x = 12,430.69

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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.