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Finding the Fourth Proportional to 23,261.81, 32,101.40 and 13,830.17

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Solution

The fourth proportional to 23,261.81, 32,101.40 and 13,830.17 is: 19,085.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,261.81 : 32,101.40 = 13,830.17 : x
  2. Step 2: Convert to fraction form
    23,261.81/32,101.40 = 13,830.17/x
  3. Step 3: Cross multiply
    23,261.81x = 32,101.40 × 13,830.17
  4. Step 4: Simplify right side
    23,261.81x = 443,967,750.09
  5. Step 5: Solve for x
    x = 443,967,750.09/23,261.81
  6. Step 6: Final answer
    x = 19,085.69

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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.