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Finding the Fourth Proportional to 14,431.14, 21,649.14 and 5,070.78

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Solution

The fourth proportional to 14,431.14, 21,649.14 and 5,070.78 is: 7,607.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431.14 : 21,649.14 = 5,070.78 : x
  2. Step 2: Convert to fraction form
    14,431.14/21,649.14 = 5,070.78/x
  3. Step 3: Cross multiply
    14,431.14x = 21,649.14 × 5,070.78
  4. Step 4: Simplify right side
    14,431.14x = 109,778,026.13
  5. Step 5: Solve for x
    x = 109,778,026.13/14,431.14
  6. Step 6: Final answer
    x = 7,607.02

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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.