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Finding the Fourth Proportional to 21,854.72, 32,762.40 and 8,000.48

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Solution

The fourth proportional to 21,854.72, 32,762.40 and 8,000.48 is: 11,993.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854.72 : 32,762.40 = 8,000.48 : x
  2. Step 2: Convert to fraction form
    21,854.72/32,762.40 = 8,000.48/x
  3. Step 3: Cross multiply
    21,854.72x = 32,762.40 × 8,000.48
  4. Step 4: Simplify right side
    21,854.72x = 262,114,925.95
  5. Step 5: Solve for x
    x = 262,114,925.95/21,854.72
  6. Step 6: Final answer
    x = 11,993.52

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1.5x scale

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.