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Finding the Fourth Proportional to 17,065.76, 23,550.80 and 9,897.08

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Solution

The fourth proportional to 17,065.76, 23,550.80 and 9,897.08 is: 13,657.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,065.76 : 23,550.80 = 9,897.08 : x
  2. Step 2: Convert to fraction form
    17,065.76/23,550.80 = 9,897.08/x
  3. Step 3: Cross multiply
    17,065.76x = 23,550.80 × 9,897.08
  4. Step 4: Simplify right side
    17,065.76x = 233,083,984.42
  5. Step 5: Solve for x
    x = 233,083,984.42/17,065.76
  6. Step 6: Final answer
    x = 13,657.99

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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.