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Finding the Fourth Proportional to 17,778.16, 24,534.12 and 10,326.16

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Solution

The fourth proportional to 17,778.16, 24,534.12 and 10,326.16 is: 14,250.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.16 : 24,534.12 = 10,326.16 : x
  2. Step 2: Convert to fraction form
    17,778.16/24,534.12 = 10,326.16/x
  3. Step 3: Cross multiply
    17,778.16x = 24,534.12 × 10,326.16
  4. Step 4: Simplify right side
    17,778.16x = 253,343,248.58
  5. Step 5: Solve for x
    x = 253,343,248.58/17,778.16
  6. Step 6: Final answer
    x = 14,250.25

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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.