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Finding the Fourth Proportional to 15,865.81, 23,802.06 and 6,004.87

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Solution

The fourth proportional to 15,865.81, 23,802.06 and 6,004.87 is: 9,008.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,865.81 : 23,802.06 = 6,004.87 : x
  2. Step 2: Convert to fraction form
    15,865.81/23,802.06 = 6,004.87/x
  3. Step 3: Cross multiply
    15,865.81x = 23,802.06 × 6,004.87
  4. Step 4: Simplify right side
    15,865.81x = 142,928,276.03
  5. Step 5: Solve for x
    x = 142,928,276.03/15,865.81
  6. Step 6: Final answer
    x = 9,008.57

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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.