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Finding the Fourth Proportional to 15,203.10, 22,806.93 and 5,340.64

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Solution

The fourth proportional to 15,203.10, 22,806.93 and 5,340.64 is: 8,011.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,203.10 : 22,806.93 = 5,340.64 : x
  2. Step 2: Convert to fraction form
    15,203.10/22,806.93 = 5,340.64/x
  3. Step 3: Cross multiply
    15,203.10x = 22,806.93 × 5,340.64
  4. Step 4: Simplify right side
    15,203.10x = 121,803,602.64
  5. Step 5: Solve for x
    x = 121,803,602.64/15,203.10
  6. Step 6: Final answer
    x = 8,011.76

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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.