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Finding the Fourth Proportional to 14,677.61, 20,266.19 and 9,020.16

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Solution

The fourth proportional to 14,677.61, 20,266.19 and 9,020.16 is: 12,454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.61 : 20,266.19 = 9,020.16 : x
  2. Step 2: Convert to fraction form
    14,677.61/20,266.19 = 9,020.16/x
  3. Step 3: Cross multiply
    14,677.61x = 20,266.19 × 9,020.16
  4. Step 4: Simplify right side
    14,677.61x = 182,804,231.29
  5. Step 5: Solve for x
    x = 182,804,231.29/14,677.61
  6. Step 6: Final answer
    x = 12,454.64

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1.5x scale

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.