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Finding the Fourth Proportional to 17,688.06, 24,413 and 10,139.45

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Solution

The fourth proportional to 17,688.06, 24,413 and 10,139.45 is: 13,994.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,688.06 : 24,413 = 10,139.45 : x
  2. Step 2: Convert to fraction form
    17,688.06/24,413 = 10,139.45/x
  3. Step 3: Cross multiply
    17,688.06x = 24,413 × 10,139.45
  4. Step 4: Simplify right side
    17,688.06x = 247,534,392.85
  5. Step 5: Solve for x
    x = 247,534,392.85/17,688.06
  6. Step 6: Final answer
    x = 13,994.43

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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.