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Finding the Fourth Proportional to 17,510.70, 24,165.24 and 10,705.84

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Solution

The fourth proportional to 17,510.70, 24,165.24 and 10,705.84 is: 14,774.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,510.70 : 24,165.24 = 10,705.84 : x
  2. Step 2: Convert to fraction form
    17,510.70/24,165.24 = 10,705.84/x
  3. Step 3: Cross multiply
    17,510.70x = 24,165.24 × 10,705.84
  4. Step 4: Simplify right side
    17,510.70x = 258,709,193.00
  5. Step 5: Solve for x
    x = 258,709,193.00/17,510.70
  6. Step 6: Final answer
    x = 14,774.35

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1.5x scale

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.