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Finding the Fourth Proportional to 17,972.50, 24,802.32 and 10,419.40

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Solution

The fourth proportional to 17,972.50, 24,802.32 and 10,419.40 is: 14,378.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,972.50 : 24,802.32 = 10,419.40 : x
  2. Step 2: Convert to fraction form
    17,972.50/24,802.32 = 10,419.40/x
  3. Step 3: Cross multiply
    17,972.50x = 24,802.32 × 10,419.40
  4. Step 4: Simplify right side
    17,972.50x = 258,425,293.01
  5. Step 5: Solve for x
    x = 258,425,293.01/17,972.50
  6. Step 6: Final answer
    x = 14,378.93

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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.