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Finding the Fourth Proportional to 14,363, 21,550.80 and 6,045.20

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Solution

The fourth proportional to 14,363, 21,550.80 and 6,045.20 is: 9,070.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,363 : 21,550.80 = 6,045.20 : x
  2. Step 2: Convert to fraction form
    14,363/21,550.80 = 6,045.20/x
  3. Step 3: Cross multiply
    14,363x = 21,550.80 × 6,045.20
  4. Step 4: Simplify right side
    14,363x = 130,278,896.16
  5. Step 5: Solve for x
    x = 130,278,896.16/14,363
  6. Step 6: Final answer
    x = 9,070.45

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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.