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Finding the Fourth Proportional to 17,810.90, 24,578.06 and 9,742.96

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Solution

The fourth proportional to 17,810.90, 24,578.06 and 9,742.96 is: 13,444.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,810.90 : 24,578.06 = 9,742.96 : x
  2. Step 2: Convert to fraction form
    17,810.90/24,578.06 = 9,742.96/x
  3. Step 3: Cross multiply
    17,810.90x = 24,578.06 × 9,742.96
  4. Step 4: Simplify right side
    17,810.90x = 239,463,055.46
  5. Step 5: Solve for x
    x = 239,463,055.46/17,810.90
  6. Step 6: Final answer
    x = 13,444.75

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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.