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Finding the Fourth Proportional to 23,802.81, 35,707.86 and 6,274.01

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Solution

The fourth proportional to 23,802.81, 35,707.86 and 6,274.01 is: 9,411.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.81 : 35,707.86 = 6,274.01 : x
  2. Step 2: Convert to fraction form
    23,802.81/35,707.86 = 6,274.01/x
  3. Step 3: Cross multiply
    23,802.81x = 35,707.86 × 6,274.01
  4. Step 4: Simplify right side
    23,802.81x = 224,031,470.72
  5. Step 5: Solve for x
    x = 224,031,470.72/23,802.81
  6. Step 6: Final answer
    x = 9,411.98

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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.