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Finding the Fourth Proportional to 14,614.90, 21,897.15 and 6,807.70

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Solution

The fourth proportional to 14,614.90, 21,897.15 and 6,807.70 is: 10,199.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,614.90 : 21,897.15 = 6,807.70 : x
  2. Step 2: Convert to fraction form
    14,614.90/21,897.15 = 6,807.70/x
  3. Step 3: Cross multiply
    14,614.90x = 21,897.15 × 6,807.70
  4. Step 4: Simplify right side
    14,614.90x = 149,069,228.06
  5. Step 5: Solve for x
    x = 149,069,228.06/14,614.90
  6. Step 6: Final answer
    x = 10,199.81

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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.