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Finding the Fourth Proportional to 19,516, 26,932.08 and 10,684

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Solution

The fourth proportional to 19,516, 26,932.08 and 10,684 is: 14,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,516 : 26,932.08 = 10,684 : x
  2. Step 2: Convert to fraction form
    19,516/26,932.08 = 10,684/x
  3. Step 3: Cross multiply
    19,516x = 26,932.08 × 10,684
  4. Step 4: Simplify right side
    19,516x = 287,742,342.72
  5. Step 5: Solve for x
    x = 287,742,342.72/19,516
  6. Step 6: Final answer
    x = 14,743.92

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Why These Related Problems?

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