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Finding the Fourth Proportional to 15,707.40, 23,569.07 and 10,446.07

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Solution

The fourth proportional to 15,707.40, 23,569.07 and 10,446.07 is: 15,674.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,707.40 : 23,569.07 = 10,446.07 : x
  2. Step 2: Convert to fraction form
    15,707.40/23,569.07 = 10,446.07/x
  3. Step 3: Cross multiply
    15,707.40x = 23,569.07 × 10,446.07
  4. Step 4: Simplify right side
    15,707.40x = 246,204,155.05
  5. Step 5: Solve for x
    x = 246,204,155.05/15,707.40
  6. Step 6: Final answer
    x = 15,674.41

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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.