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Finding the Fourth Proportional to 16,802.71, 25,197.27 and 7,315.72

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Solution

The fourth proportional to 16,802.71, 25,197.27 and 7,315.72 is: 10,970.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,802.71 : 25,197.27 = 7,315.72 : x
  2. Step 2: Convert to fraction form
    16,802.71/25,197.27 = 7,315.72/x
  3. Step 3: Cross multiply
    16,802.71x = 25,197.27 × 7,315.72
  4. Step 4: Simplify right side
    16,802.71x = 184,336,172.08
  5. Step 5: Solve for x
    x = 184,336,172.08/16,802.71
  6. Step 6: Final answer
    x = 10,970.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.