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Finding the Fourth Proportional to 23,830.77, 32,888.52 and 13,223.01

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Solution

The fourth proportional to 23,830.77, 32,888.52 and 13,223.01 is: 18,248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.77 : 32,888.52 = 13,223.01 : x
  2. Step 2: Convert to fraction form
    23,830.77/32,888.52 = 13,223.01/x
  3. Step 3: Cross multiply
    23,830.77x = 32,888.52 × 13,223.01
  4. Step 4: Simplify right side
    23,830.77x = 434,885,228.85
  5. Step 5: Solve for x
    x = 434,885,228.85/23,830.77
  6. Step 6: Final answer
    x = 18,248.90

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