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Finding the Fourth Proportional to 14,691, 22,036.50 and 4,302.84

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Solution

The fourth proportional to 14,691, 22,036.50 and 4,302.84 is: 6,454.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691 : 22,036.50 = 4,302.84 : x
  2. Step 2: Convert to fraction form
    14,691/22,036.50 = 4,302.84/x
  3. Step 3: Cross multiply
    14,691x = 22,036.50 × 4,302.84
  4. Step 4: Simplify right side
    14,691x = 94,819,533.66
  5. Step 5: Solve for x
    x = 94,819,533.66/14,691
  6. Step 6: Final answer
    x = 6,454.26

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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.