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Finding the Fourth Proportional to 15,758.49, 23,645.97 and 10,210.40

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Solution

The fourth proportional to 15,758.49, 23,645.97 and 10,210.40 is: 15,320.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758.49 : 23,645.97 = 10,210.40 : x
  2. Step 2: Convert to fraction form
    15,758.49/23,645.97 = 10,210.40/x
  3. Step 3: Cross multiply
    15,758.49x = 23,645.97 × 10,210.40
  4. Step 4: Simplify right side
    15,758.49x = 241,434,812.09
  5. Step 5: Solve for x
    x = 241,434,812.09/15,758.49
  6. Step 6: Final answer
    x = 15,320.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.