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Finding the Fourth Proportional to 17,705.52, 24,435.84 and 10,153.08

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Solution

The fourth proportional to 17,705.52, 24,435.84 and 10,153.08 is: 14,012.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.52 : 24,435.84 = 10,153.08 : x
  2. Step 2: Convert to fraction form
    17,705.52/24,435.84 = 10,153.08/x
  3. Step 3: Cross multiply
    17,705.52x = 24,435.84 × 10,153.08
  4. Step 4: Simplify right side
    17,705.52x = 248,099,038.39
  5. Step 5: Solve for x
    x = 248,099,038.39/17,705.52
  6. Step 6: Final answer
    x = 14,012.52

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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.