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Finding the Fourth Proportional to 15,208.19, 22,806.48 and 7,308.50

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Solution

The fourth proportional to 15,208.19, 22,806.48 and 7,308.50 is: 10,959.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,208.19 : 22,806.48 = 7,308.50 : x
  2. Step 2: Convert to fraction form
    15,208.19/22,806.48 = 7,308.50/x
  3. Step 3: Cross multiply
    15,208.19x = 22,806.48 × 7,308.50
  4. Step 4: Simplify right side
    15,208.19x = 166,681,159.08
  5. Step 5: Solve for x
    x = 166,681,159.08/15,208.19
  6. Step 6: Final answer
    x = 10,959.96

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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.