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Finding the Fourth Proportional to 19,719.04, 29,407.52 and 16,816

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Solution

The fourth proportional to 19,719.04, 29,407.52 and 16,816 is: 25,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,719.04 : 29,407.52 = 16,816 : x
  2. Step 2: Convert to fraction form
    19,719.04/29,407.52 = 16,816/x
  3. Step 3: Cross multiply
    19,719.04x = 29,407.52 × 16,816
  4. Step 4: Simplify right side
    19,719.04x = 494,516,856.32
  5. Step 5: Solve for x
    x = 494,516,856.32/19,719.04
  6. Step 6: Final answer
    x = 25,078.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.