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Finding the Fourth Proportional to 12,973.16, 19,442.82 and 5,950.64

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Solution

The fourth proportional to 12,973.16, 19,442.82 and 5,950.64 is: 8,918.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,973.16 : 19,442.82 = 5,950.64 : x
  2. Step 2: Convert to fraction form
    12,973.16/19,442.82 = 5,950.64/x
  3. Step 3: Cross multiply
    12,973.16x = 19,442.82 × 5,950.64
  4. Step 4: Simplify right side
    12,973.16x = 115,697,222.40
  5. Step 5: Solve for x
    x = 115,697,222.40/12,973.16
  6. Step 6: Final answer
    x = 8,918.20

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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.