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Finding the Fourth Proportional to 15,298.84, 22,928.82 and 8,365.24

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Solution

The fourth proportional to 15,298.84, 22,928.82 and 8,365.24 is: 12,537.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,298.84 : 22,928.82 = 8,365.24 : x
  2. Step 2: Convert to fraction form
    15,298.84/22,928.82 = 8,365.24/x
  3. Step 3: Cross multiply
    15,298.84x = 22,928.82 × 8,365.24
  4. Step 4: Simplify right side
    15,298.84x = 191,805,082.22
  5. Step 5: Solve for x
    x = 191,805,082.22/15,298.84
  6. Step 6: Final answer
    x = 12,537.23

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1.5x scale

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.