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Finding the Fourth Proportional to 23,053, 31,815.30 and 13,117

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Solution

The fourth proportional to 23,053, 31,815.30 and 13,117 is: 18,102.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,053 : 31,815.30 = 13,117 : x
  2. Step 2: Convert to fraction form
    23,053/31,815.30 = 13,117/x
  3. Step 3: Cross multiply
    23,053x = 31,815.30 × 13,117
  4. Step 4: Simplify right side
    23,053x = 417,321,290.10
  5. Step 5: Solve for x
    x = 417,321,290.10/23,053
  6. Step 6: Final answer
    x = 18,102.69

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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.