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Finding the Fourth Proportional to 14,386.50, 21,578.76 and 8,840.70

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Solution

The fourth proportional to 14,386.50, 21,578.76 and 8,840.70 is: 13,260.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,386.50 : 21,578.76 = 8,840.70 : x
  2. Step 2: Convert to fraction form
    14,386.50/21,578.76 = 8,840.70/x
  3. Step 3: Cross multiply
    14,386.50x = 21,578.76 × 8,840.70
  4. Step 4: Simplify right side
    14,386.50x = 190,771,343.53
  5. Step 5: Solve for x
    x = 190,771,343.53/14,386.50
  6. Step 6: Final answer
    x = 13,260.44

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Why These Related Problems?

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