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Finding the Fourth Proportional to 12,924.88, 19,386.66 and 3,564.98

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Solution

The fourth proportional to 12,924.88, 19,386.66 and 3,564.98 is: 5,347.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,924.88 : 19,386.66 = 3,564.98 : x
  2. Step 2: Convert to fraction form
    12,924.88/19,386.66 = 3,564.98/x
  3. Step 3: Cross multiply
    12,924.88x = 19,386.66 × 3,564.98
  4. Step 4: Simplify right side
    12,924.88x = 69,113,037.34
  5. Step 5: Solve for x
    x = 69,113,037.34/12,924.88
  6. Step 6: Final answer
    x = 5,347.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.