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Finding the Fourth Proportional to 26,178, 36,125.37 and 15,567.42

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Solution

The fourth proportional to 26,178, 36,125.37 and 15,567.42 is: 21,482.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,178 : 36,125.37 = 15,567.42 : x
  2. Step 2: Convert to fraction form
    26,178/36,125.37 = 15,567.42/x
  3. Step 3: Cross multiply
    26,178x = 36,125.37 × 15,567.42
  4. Step 4: Simplify right side
    26,178x = 562,378,807.45
  5. Step 5: Solve for x
    x = 562,378,807.45/26,178
  6. Step 6: Final answer
    x = 21,482.88

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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.