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Finding the Fourth Proportional to 17,130.94, 23,641.61 and 10,415.48

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Solution

The fourth proportional to 17,130.94, 23,641.61 and 10,415.48 is: 14,373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,130.94 : 23,641.61 = 10,415.48 : x
  2. Step 2: Convert to fraction form
    17,130.94/23,641.61 = 10,415.48/x
  3. Step 3: Cross multiply
    17,130.94x = 23,641.61 × 10,415.48
  4. Step 4: Simplify right side
    17,130.94x = 246,238,545.84
  5. Step 5: Solve for x
    x = 246,238,545.84/17,130.94
  6. Step 6: Final answer
    x = 14,373.91

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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.