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Finding the Fourth Proportional to 15,752, 23,631.84 and 4,808

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Solution

The fourth proportional to 15,752, 23,631.84 and 4,808 is: 7,213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,752 : 23,631.84 = 4,808 : x
  2. Step 2: Convert to fraction form
    15,752/23,631.84 = 4,808/x
  3. Step 3: Cross multiply
    15,752x = 23,631.84 × 4,808
  4. Step 4: Simplify right side
    15,752x = 113,621,886.72
  5. Step 5: Solve for x
    x = 113,621,886.72/15,752
  6. Step 6: Final answer
    x = 7,213.17

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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.