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Finding the Fourth Proportional to 15,184, 22,779.84 and 4,240

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Solution

The fourth proportional to 15,184, 22,779.84 and 4,240 is: 6,361.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,184 : 22,779.84 = 4,240 : x
  2. Step 2: Convert to fraction form
    15,184/22,779.84 = 4,240/x
  3. Step 3: Cross multiply
    15,184x = 22,779.84 × 4,240
  4. Step 4: Simplify right side
    15,184x = 96,586,521.60
  5. Step 5: Solve for x
    x = 96,586,521.60/15,184
  6. Step 6: Final answer
    x = 6,361.07

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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.