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Finding the Fourth Proportional to 23,733.63, 32,751.95 and 13,123.17

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Solution

The fourth proportional to 23,733.63, 32,751.95 and 13,123.17 is: 18,109.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,733.63 : 32,751.95 = 13,123.17 : x
  2. Step 2: Convert to fraction form
    23,733.63/32,751.95 = 13,123.17/x
  3. Step 3: Cross multiply
    23,733.63x = 32,751.95 × 13,123.17
  4. Step 4: Simplify right side
    23,733.63x = 429,809,342.07
  5. Step 5: Solve for x
    x = 429,809,342.07/23,733.63
  6. Step 6: Final answer
    x = 18,109.72

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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.