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Finding the Fourth Proportional to 17,866.96, 24,656.02 and 9,909.01

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Solution

The fourth proportional to 17,866.96, 24,656.02 and 9,909.01 is: 13,674.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,866.96 : 24,656.02 = 9,909.01 : x
  2. Step 2: Convert to fraction form
    17,866.96/24,656.02 = 9,909.01/x
  3. Step 3: Cross multiply
    17,866.96x = 24,656.02 × 9,909.01
  4. Step 4: Simplify right side
    17,866.96x = 244,316,748.74
  5. Step 5: Solve for x
    x = 244,316,748.74/17,866.96
  6. Step 6: Final answer
    x = 13,674.22

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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.