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Finding the Fourth Proportional to 23,223.12, 32,047.56 and 13,014

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Solution

The fourth proportional to 23,223.12, 32,047.56 and 13,014 is: 17,959.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,223.12 : 32,047.56 = 13,014 : x
  2. Step 2: Convert to fraction form
    23,223.12/32,047.56 = 13,014/x
  3. Step 3: Cross multiply
    23,223.12x = 32,047.56 × 13,014
  4. Step 4: Simplify right side
    23,223.12x = 417,066,945.84
  5. Step 5: Solve for x
    x = 417,066,945.84/23,223.12
  6. Step 6: Final answer
    x = 17,959.13

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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.