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Finding the Fourth Proportional to 23,216.50, 32,038.77 and 13,280.50

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Solution

The fourth proportional to 23,216.50, 32,038.77 and 13,280.50 is: 18,327.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,216.50 : 32,038.77 = 13,280.50 : x
  2. Step 2: Convert to fraction form
    23,216.50/32,038.77 = 13,280.50/x
  3. Step 3: Cross multiply
    23,216.50x = 32,038.77 × 13,280.50
  4. Step 4: Simplify right side
    23,216.50x = 425,490,884.99
  5. Step 5: Solve for x
    x = 425,490,884.99/23,216.50
  6. Step 6: Final answer
    x = 18,327.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.