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Finding the Fourth Proportional to 17,657.91, 24,368.22 and 9,700.47

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Solution

The fourth proportional to 17,657.91, 24,368.22 and 9,700.47 is: 13,386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.91 : 24,368.22 = 9,700.47 : x
  2. Step 2: Convert to fraction form
    17,657.91/24,368.22 = 9,700.47/x
  3. Step 3: Cross multiply
    17,657.91x = 24,368.22 × 9,700.47
  4. Step 4: Simplify right side
    17,657.91x = 236,383,187.06
  5. Step 5: Solve for x
    x = 236,383,187.06/17,657.91
  6. Step 6: Final answer
    x = 13,386.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.