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Finding the Fourth Proportional to 23,215.40, 32,035.03 and 14,261.45

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Solution

The fourth proportional to 23,215.40, 32,035.03 and 14,261.45 is: 19,679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,215.40 : 32,035.03 = 14,261.45 : x
  2. Step 2: Convert to fraction form
    23,215.40/32,035.03 = 14,261.45/x
  3. Step 3: Cross multiply
    23,215.40x = 32,035.03 × 14,261.45
  4. Step 4: Simplify right side
    23,215.40x = 456,865,907.29
  5. Step 5: Solve for x
    x = 456,865,907.29/23,215.40
  6. Step 6: Final answer
    x = 19,679.44

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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.