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Finding the Fourth Proportional to 17,470.79, 26,210.28 and 5,784

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Solution

The fourth proportional to 17,470.79, 26,210.28 and 5,784 is: 8,677.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,470.79 : 26,210.28 = 5,784 : x
  2. Step 2: Convert to fraction form
    17,470.79/26,210.28 = 5,784/x
  3. Step 3: Cross multiply
    17,470.79x = 26,210.28 × 5,784
  4. Step 4: Simplify right side
    17,470.79x = 151,600,259.52
  5. Step 5: Solve for x
    x = 151,600,259.52/17,470.79
  6. Step 6: Final answer
    x = 8,677.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.