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Finding the Fourth Proportional to 15,588, 23,385.84 and 4,644

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Solution

The fourth proportional to 15,588, 23,385.84 and 4,644 is: 6,967.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,588 : 23,385.84 = 4,644 : x
  2. Step 2: Convert to fraction form
    15,588/23,385.84 = 4,644/x
  3. Step 3: Cross multiply
    15,588x = 23,385.84 × 4,644
  4. Step 4: Simplify right side
    15,588x = 108,603,840.96
  5. Step 5: Solve for x
    x = 108,603,840.96/15,588
  6. Step 6: Final answer
    x = 6,967.14

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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.