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Finding the Fourth Proportional to 17,657.85, 24,368.22 and 9,700.53

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Solution

The fourth proportional to 17,657.85, 24,368.22 and 9,700.53 is: 13,386.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.85 : 24,368.22 = 9,700.53 : x
  2. Step 2: Convert to fraction form
    17,657.85/24,368.22 = 9,700.53/x
  3. Step 3: Cross multiply
    17,657.85x = 24,368.22 × 9,700.53
  4. Step 4: Simplify right side
    17,657.85x = 236,384,649.16
  5. Step 5: Solve for x
    x = 236,384,649.16/17,657.85
  6. Step 6: Final answer
    x = 13,386.94

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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.