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Finding the Fourth Proportional to 15,911.65, 23,831.15 and 7,597.51

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Solution

The fourth proportional to 15,911.65, 23,831.15 and 7,597.51 is: 11,378.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,911.65 : 23,831.15 = 7,597.51 : x
  2. Step 2: Convert to fraction form
    15,911.65/23,831.15 = 7,597.51/x
  3. Step 3: Cross multiply
    15,911.65x = 23,831.15 × 7,597.51
  4. Step 4: Simplify right side
    15,911.65x = 181,057,302.87
  5. Step 5: Solve for x
    x = 181,057,302.87/15,911.65
  6. Step 6: Final answer
    x = 11,378.91

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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.