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Finding the Fourth Proportional to 23,807.16, 35,726.87 and 9,769.72

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Solution

The fourth proportional to 23,807.16, 35,726.87 and 9,769.72 is: 14,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.16 : 35,726.87 = 9,769.72 : x
  2. Step 2: Convert to fraction form
    23,807.16/35,726.87 = 9,769.72/x
  3. Step 3: Cross multiply
    23,807.16x = 35,726.87 × 9,769.72
  4. Step 4: Simplify right side
    23,807.16x = 349,041,516.38
  5. Step 5: Solve for x
    x = 349,041,516.38/23,807.16
  6. Step 6: Final answer
    x = 14,661.20

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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.