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Finding the Fourth Proportional to 23,004.56, 31,746.12 and 13,068.56

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Solution

The fourth proportional to 23,004.56, 31,746.12 and 13,068.56 is: 18,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,004.56 : 31,746.12 = 13,068.56 : x
  2. Step 2: Convert to fraction form
    23,004.56/31,746.12 = 13,068.56/x
  3. Step 3: Cross multiply
    23,004.56x = 31,746.12 × 13,068.56
  4. Step 4: Simplify right side
    23,004.56x = 414,875,915.26
  5. Step 5: Solve for x
    x = 414,875,915.26/23,004.56
  6. Step 6: Final answer
    x = 18,034.51

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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.