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Finding the Fourth Proportional to 15,712.02, 23,568.06 and 5,323.50

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Solution

The fourth proportional to 15,712.02, 23,568.06 and 5,323.50 is: 7,985.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712.02 : 23,568.06 = 5,323.50 : x
  2. Step 2: Convert to fraction form
    15,712.02/23,568.06 = 5,323.50/x
  3. Step 3: Cross multiply
    15,712.02x = 23,568.06 × 5,323.50
  4. Step 4: Simplify right side
    15,712.02x = 125,464,567.41
  5. Step 5: Solve for x
    x = 125,464,567.41/15,712.02
  6. Step 6: Final answer
    x = 7,985.26

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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.