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Finding the Fourth Proportional to 25,510.53, 35,210.24 and 14,184

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Solution

The fourth proportional to 25,510.53, 35,210.24 and 14,184 is: 19,577.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,510.53 : 35,210.24 = 14,184 : x
  2. Step 2: Convert to fraction form
    25,510.53/35,210.24 = 14,184/x
  3. Step 3: Cross multiply
    25,510.53x = 35,210.24 × 14,184
  4. Step 4: Simplify right side
    25,510.53x = 499,422,044.16
  5. Step 5: Solve for x
    x = 499,422,044.16/25,510.53
  6. Step 6: Final answer
    x = 19,577.09

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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.