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Finding the Fourth Proportional to 17,011.76, 23,470.00 and 10,294.93

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Solution

The fourth proportional to 17,011.76, 23,470.00 and 10,294.93 is: 14,203.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,011.76 : 23,470.00 = 10,294.93 : x
  2. Step 2: Convert to fraction form
    17,011.76/23,470.00 = 10,294.93/x
  3. Step 3: Cross multiply
    17,011.76x = 23,470.00 × 10,294.93
  4. Step 4: Simplify right side
    17,011.76x = 241,622,068.61
  5. Step 5: Solve for x
    x = 241,622,068.61/17,011.76
  6. Step 6: Final answer
    x = 14,203.24

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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.