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Finding the Fourth Proportional to 17,505.25, 24,156.98 and 9,547.45

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Solution

The fourth proportional to 17,505.25, 24,156.98 and 9,547.45 is: 13,175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,505.25 : 24,156.98 = 9,547.45 : x
  2. Step 2: Convert to fraction form
    17,505.25/24,156.98 = 9,547.45/x
  3. Step 3: Cross multiply
    17,505.25x = 24,156.98 × 9,547.45
  4. Step 4: Simplify right side
    17,505.25x = 230,637,675.96
  5. Step 5: Solve for x
    x = 230,637,675.96/17,505.25
  6. Step 6: Final answer
    x = 13,175.35

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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.