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Finding the Fourth Proportional to 21,521, 32,281.50 and 6,929

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Solution

The fourth proportional to 21,521, 32,281.50 and 6,929 is: 10,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,521 : 32,281.50 = 6,929 : x
  2. Step 2: Convert to fraction form
    21,521/32,281.50 = 6,929/x
  3. Step 3: Cross multiply
    21,521x = 32,281.50 × 6,929
  4. Step 4: Simplify right side
    21,521x = 223,678,513.50
  5. Step 5: Solve for x
    x = 223,678,513.50/21,521
  6. Step 6: Final answer
    x = 10,393.50

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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.