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Finding the Fourth Proportional to 19,557.90, 26,989.65 and 10,605.38

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Solution

The fourth proportional to 19,557.90, 26,989.65 and 10,605.38 is: 14,635.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,557.90 : 26,989.65 = 10,605.38 : x
  2. Step 2: Convert to fraction form
    19,557.90/26,989.65 = 10,605.38/x
  3. Step 3: Cross multiply
    19,557.90x = 26,989.65 × 10,605.38
  4. Step 4: Simplify right side
    19,557.90x = 286,235,359.37
  5. Step 5: Solve for x
    x = 286,235,359.37/19,557.90
  6. Step 6: Final answer
    x = 14,635.28

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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.