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Finding the Fourth Proportional to 19,249.16, 26,566.02 and 10,865

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Solution

The fourth proportional to 19,249.16, 26,566.02 and 10,865 is: 14,994.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,249.16 : 26,566.02 = 10,865 : x
  2. Step 2: Convert to fraction form
    19,249.16/26,566.02 = 10,865/x
  3. Step 3: Cross multiply
    19,249.16x = 26,566.02 × 10,865
  4. Step 4: Simplify right side
    19,249.16x = 288,639,807.30
  5. Step 5: Solve for x
    x = 288,639,807.30/19,249.16
  6. Step 6: Final answer
    x = 14,994.93

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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.