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Finding the Fourth Proportional to 15,663.40, 23,516.70 and 9,831.40

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Solution

The fourth proportional to 15,663.40, 23,516.70 and 9,831.40 is: 14,760.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,663.40 : 23,516.70 = 9,831.40 : x
  2. Step 2: Convert to fraction form
    15,663.40/23,516.70 = 9,831.40/x
  3. Step 3: Cross multiply
    15,663.40x = 23,516.70 × 9,831.40
  4. Step 4: Simplify right side
    15,663.40x = 231,202,084.38
  5. Step 5: Solve for x
    x = 231,202,084.38/15,663.40
  6. Step 6: Final answer
    x = 14,760.66

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1.5x scale

Why These Related Problems?

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