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Finding the Fourth Proportional to 17,177.39, 23,707.95 and 11,209

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Solution

The fourth proportional to 17,177.39, 23,707.95 and 11,209 is: 15,470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,177.39 : 23,707.95 = 11,209 : x
  2. Step 2: Convert to fraction form
    17,177.39/23,707.95 = 11,209/x
  3. Step 3: Cross multiply
    17,177.39x = 23,707.95 × 11,209
  4. Step 4: Simplify right side
    17,177.39x = 265,742,411.55
  5. Step 5: Solve for x
    x = 265,742,411.55/17,177.39
  6. Step 6: Final answer
    x = 15,470.48

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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.