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Finding the Fourth Proportional to 14,002.16, 19,323.04 and 7,714.54

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Solution

The fourth proportional to 14,002.16, 19,323.04 and 7,714.54 is: 10,646.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.16 : 19,323.04 = 7,714.54 : x
  2. Step 2: Convert to fraction form
    14,002.16/19,323.04 = 7,714.54/x
  3. Step 3: Cross multiply
    14,002.16x = 19,323.04 × 7,714.54
  4. Step 4: Simplify right side
    14,002.16x = 149,068,268.39
  5. Step 5: Solve for x
    x = 149,068,268.39/14,002.16
  6. Step 6: Final answer
    x = 10,646.09

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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.