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Finding the Fourth Proportional to 15,492, 23,241.84 and 4,548

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Solution

The fourth proportional to 15,492, 23,241.84 and 4,548 is: 6,823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,492 : 23,241.84 = 4,548 : x
  2. Step 2: Convert to fraction form
    15,492/23,241.84 = 4,548/x
  3. Step 3: Cross multiply
    15,492x = 23,241.84 × 4,548
  4. Step 4: Simplify right side
    15,492x = 105,703,888.32
  5. Step 5: Solve for x
    x = 105,703,888.32/15,492
  6. Step 6: Final answer
    x = 6,823.13

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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.