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Finding the Fourth Proportional to 14,800.32, 22,204.80 and 8,640

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Solution

The fourth proportional to 14,800.32, 22,204.80 and 8,640 is: 12,962.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,800.32 : 22,204.80 = 8,640 : x
  2. Step 2: Convert to fraction form
    14,800.32/22,204.80 = 8,640/x
  3. Step 3: Cross multiply
    14,800.32x = 22,204.80 × 8,640
  4. Step 4: Simplify right side
    14,800.32x = 191,849,472
  5. Step 5: Solve for x
    x = 191,849,472/14,800.32
  6. Step 6: Final answer
    x = 12,962.52

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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.