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Finding the Fourth Proportional to 15,536.76, 21,437.78 and 9,165.36

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Solution

The fourth proportional to 15,536.76, 21,437.78 and 9,165.36 is: 12,646.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,536.76 : 21,437.78 = 9,165.36 : x
  2. Step 2: Convert to fraction form
    15,536.76/21,437.78 = 9,165.36/x
  3. Step 3: Cross multiply
    15,536.76x = 21,437.78 × 9,165.36
  4. Step 4: Simplify right side
    15,536.76x = 196,484,971.30
  5. Step 5: Solve for x
    x = 196,484,971.30/15,536.76
  6. Step 6: Final answer
    x = 12,646.46

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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.