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Finding the Fourth Proportional to 23,707.50, 32,719.23 and 13,771.50

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Solution

The fourth proportional to 23,707.50, 32,719.23 and 13,771.50 is: 19,006.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,707.50 : 32,719.23 = 13,771.50 : x
  2. Step 2: Convert to fraction form
    23,707.50/32,719.23 = 13,771.50/x
  3. Step 3: Cross multiply
    23,707.50x = 32,719.23 × 13,771.50
  4. Step 4: Simplify right side
    23,707.50x = 450,592,875.95
  5. Step 5: Solve for x
    x = 450,592,875.95/23,707.50
  6. Step 6: Final answer
    x = 19,006.34

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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.