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Finding the Fourth Proportional to 21,705, 32,557.50 and 5,289

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Solution

The fourth proportional to 21,705, 32,557.50 and 5,289 is: 7,933.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,705 : 32,557.50 = 5,289 : x
  2. Step 2: Convert to fraction form
    21,705/32,557.50 = 5,289/x
  3. Step 3: Cross multiply
    21,705x = 32,557.50 × 5,289
  4. Step 4: Simplify right side
    21,705x = 172,196,617.50
  5. Step 5: Solve for x
    x = 172,196,617.50/21,705
  6. Step 6: Final answer
    x = 7,933.50

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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.