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Finding the Fourth Proportional to 17,759.84, 24,518.40 and 10,688

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Solution

The fourth proportional to 17,759.84, 24,518.40 and 10,688 is: 14,755.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,759.84 : 24,518.40 = 10,688 : x
  2. Step 2: Convert to fraction form
    17,759.84/24,518.40 = 10,688/x
  3. Step 3: Cross multiply
    17,759.84x = 24,518.40 × 10,688
  4. Step 4: Simplify right side
    17,759.84x = 262,052,659.20
  5. Step 5: Solve for x
    x = 262,052,659.20/17,759.84
  6. Step 6: Final answer
    x = 14,755.35

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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.