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Finding the Fourth Proportional to 15,894.76, 23,831.58 and 7,576.06

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Solution

The fourth proportional to 15,894.76, 23,831.58 and 7,576.06 is: 11,359.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.76 : 23,831.58 = 7,576.06 : x
  2. Step 2: Convert to fraction form
    15,894.76/23,831.58 = 7,576.06/x
  3. Step 3: Cross multiply
    15,894.76x = 23,831.58 × 7,576.06
  4. Step 4: Simplify right side
    15,894.76x = 180,549,479.97
  5. Step 5: Solve for x
    x = 180,549,479.97/15,894.76
  6. Step 6: Final answer
    x = 11,359.06

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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.