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Finding the Fourth Proportional to 14,152.17, 21,231 and 5,386.41

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Solution

The fourth proportional to 14,152.17, 21,231 and 5,386.41 is: 8,080.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,152.17 : 21,231 = 5,386.41 : x
  2. Step 2: Convert to fraction form
    14,152.17/21,231 = 5,386.41/x
  3. Step 3: Cross multiply
    14,152.17x = 21,231 × 5,386.41
  4. Step 4: Simplify right side
    14,152.17x = 114,358,870.71
  5. Step 5: Solve for x
    x = 114,358,870.71/14,152.17
  6. Step 6: Final answer
    x = 8,080.66

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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.