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Finding the Fourth Proportional to 14,088.22, 19,441.74 and 7,714.90

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Solution

The fourth proportional to 14,088.22, 19,441.74 and 7,714.90 is: 10,646.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,088.22 : 19,441.74 = 7,714.90 : x
  2. Step 2: Convert to fraction form
    14,088.22/19,441.74 = 7,714.90/x
  3. Step 3: Cross multiply
    14,088.22x = 19,441.74 × 7,714.90
  4. Step 4: Simplify right side
    14,088.22x = 149,991,079.93
  5. Step 5: Solve for x
    x = 149,991,079.93/14,088.22
  6. Step 6: Final answer
    x = 10,646.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.