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Finding the Fourth Proportional to 25,707.16, 35,475.74 and 14,376.65

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Solution

The fourth proportional to 25,707.16, 35,475.74 and 14,376.65 is: 19,839.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,707.16 : 35,475.74 = 14,376.65 : x
  2. Step 2: Convert to fraction form
    25,707.16/35,475.74 = 14,376.65/x
  3. Step 3: Cross multiply
    25,707.16x = 35,475.74 × 14,376.65
  4. Step 4: Simplify right side
    25,707.16x = 510,022,314.28
  5. Step 5: Solve for x
    x = 510,022,314.28/25,707.16
  6. Step 6: Final answer
    x = 19,839.70

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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.