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Finding the Fourth Proportional to 15,230.16, 22,801.16 and 9,368.96

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Solution

The fourth proportional to 15,230.16, 22,801.16 and 9,368.96 is: 14,026.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,230.16 : 22,801.16 = 9,368.96 : x
  2. Step 2: Convert to fraction form
    15,230.16/22,801.16 = 9,368.96/x
  3. Step 3: Cross multiply
    15,230.16x = 22,801.16 × 9,368.96
  4. Step 4: Simplify right side
    15,230.16x = 213,623,155.99
  5. Step 5: Solve for x
    x = 213,623,155.99/15,230.16
  6. Step 6: Final answer
    x = 14,026.32

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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.