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Finding the Fourth Proportional to 15,704.01, 21,666.08 and 10,042.08

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Solution

The fourth proportional to 15,704.01, 21,666.08 and 10,042.08 is: 13,854.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,704.01 : 21,666.08 = 10,042.08 : x
  2. Step 2: Convert to fraction form
    15,704.01/21,666.08 = 10,042.08/x
  3. Step 3: Cross multiply
    15,704.01x = 21,666.08 × 10,042.08
  4. Step 4: Simplify right side
    15,704.01x = 217,572,452.50
  5. Step 5: Solve for x
    x = 217,572,452.50/15,704.01
  6. Step 6: Final answer
    x = 13,854.58

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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.