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Finding the Fourth Proportional to 17,710.64, 24,435.14 and 10,052.64

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Solution

The fourth proportional to 17,710.64, 24,435.14 and 10,052.64 is: 13,869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,710.64 : 24,435.14 = 10,052.64 : x
  2. Step 2: Convert to fraction form
    17,710.64/24,435.14 = 10,052.64/x
  3. Step 3: Cross multiply
    17,710.64x = 24,435.14 × 10,052.64
  4. Step 4: Simplify right side
    17,710.64x = 245,637,690.90
  5. Step 5: Solve for x
    x = 245,637,690.90/17,710.64
  6. Step 6: Final answer
    x = 13,869.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.