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Finding the Fourth Proportional to 14,865.53, 22,281.08 and 8,278.50

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Solution

The fourth proportional to 14,865.53, 22,281.08 and 8,278.50 is: 12,408.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,865.53 : 22,281.08 = 8,278.50 : x
  2. Step 2: Convert to fraction form
    14,865.53/22,281.08 = 8,278.50/x
  3. Step 3: Cross multiply
    14,865.53x = 22,281.08 × 8,278.50
  4. Step 4: Simplify right side
    14,865.53x = 184,453,962.94
  5. Step 5: Solve for x
    x = 184,453,962.94/14,865.53
  6. Step 6: Final answer
    x = 12,408.17

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Why These Related Problems?

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