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Finding the Fourth Proportional to 17,062.96, 23,547.12 and 9,509.08

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Solution

The fourth proportional to 17,062.96, 23,547.12 and 9,509.08 is: 13,122.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,062.96 : 23,547.12 = 9,509.08 : x
  2. Step 2: Convert to fraction form
    17,062.96/23,547.12 = 9,509.08/x
  3. Step 3: Cross multiply
    17,062.96x = 23,547.12 × 9,509.08
  4. Step 4: Simplify right side
    17,062.96x = 223,911,447.85
  5. Step 5: Solve for x
    x = 223,911,447.85/17,062.96
  6. Step 6: Final answer
    x = 13,122.66

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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.