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Finding the Fourth Proportional to 15,386.84, 23,081.18 and 4,857.20

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Solution

The fourth proportional to 15,386.84, 23,081.18 and 4,857.20 is: 7,286.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,386.84 : 23,081.18 = 4,857.20 : x
  2. Step 2: Convert to fraction form
    15,386.84/23,081.18 = 4,857.20/x
  3. Step 3: Cross multiply
    15,386.84x = 23,081.18 × 4,857.20
  4. Step 4: Simplify right side
    15,386.84x = 112,109,907.50
  5. Step 5: Solve for x
    x = 112,109,907.50/15,386.84
  6. Step 6: Final answer
    x = 7,286.09

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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.