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Finding the Fourth Proportional to 14,694, 20,277.72 and 8,070

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Solution

The fourth proportional to 14,694, 20,277.72 and 8,070 is: 11,136.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,694 : 20,277.72 = 8,070 : x
  2. Step 2: Convert to fraction form
    14,694/20,277.72 = 8,070/x
  3. Step 3: Cross multiply
    14,694x = 20,277.72 × 8,070
  4. Step 4: Simplify right side
    14,694x = 163,641,200.40
  5. Step 5: Solve for x
    x = 163,641,200.40/14,694
  6. Step 6: Final answer
    x = 11,136.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.