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Finding the Fourth Proportional to 23,038.08, 31,792.68 and 13,102.08

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Solution

The fourth proportional to 23,038.08, 31,792.68 and 13,102.08 is: 18,080.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,038.08 : 31,792.68 = 13,102.08 : x
  2. Step 2: Convert to fraction form
    23,038.08/31,792.68 = 13,102.08/x
  3. Step 3: Cross multiply
    23,038.08x = 31,792.68 × 13,102.08
  4. Step 4: Simplify right side
    23,038.08x = 416,550,236.77
  5. Step 5: Solve for x
    x = 416,550,236.77/23,038.08
  6. Step 6: Final answer
    x = 18,080.94

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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.