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Finding the Fourth Proportional to 23,145.95, 31,947 and 13,587.95

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Solution

The fourth proportional to 23,145.95, 31,947 and 13,587.95 is: 18,754.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,145.95 : 31,947 = 13,587.95 : x
  2. Step 2: Convert to fraction form
    23,145.95/31,947 = 13,587.95/x
  3. Step 3: Cross multiply
    23,145.95x = 31,947 × 13,587.95
  4. Step 4: Simplify right side
    23,145.95x = 434,094,238.65
  5. Step 5: Solve for x
    x = 434,094,238.65/23,145.95
  6. Step 6: Final answer
    x = 18,754.65

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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.