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Finding the Fourth Proportional to 15,973.01, 23,941.34 and 9,719.23

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Solution

The fourth proportional to 15,973.01, 23,941.34 and 9,719.23 is: 14,567.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,973.01 : 23,941.34 = 9,719.23 : x
  2. Step 2: Convert to fraction form
    15,973.01/23,941.34 = 9,719.23/x
  3. Step 3: Cross multiply
    15,973.01x = 23,941.34 × 9,719.23
  4. Step 4: Simplify right side
    15,973.01x = 232,691,389.97
  5. Step 5: Solve for x
    x = 232,691,389.97/15,973.01
  6. Step 6: Final answer
    x = 14,567.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.