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Finding the Fourth Proportional to 15,645, 23,467.56 and 4,701

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Solution

The fourth proportional to 15,645, 23,467.56 and 4,701 is: 7,051.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,645 : 23,467.56 = 4,701 : x
  2. Step 2: Convert to fraction form
    15,645/23,467.56 = 4,701/x
  3. Step 3: Cross multiply
    15,645x = 23,467.56 × 4,701
  4. Step 4: Simplify right side
    15,645x = 110,320,999.56
  5. Step 5: Solve for x
    x = 110,320,999.56/15,645
  6. Step 6: Final answer
    x = 7,051.52

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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.