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Finding the Fourth Proportional to 12,950.93, 19,425.51 and 5,051.98

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Solution

The fourth proportional to 12,950.93, 19,425.51 and 5,051.98 is: 7,577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.93 : 19,425.51 = 5,051.98 : x
  2. Step 2: Convert to fraction form
    12,950.93/19,425.51 = 5,051.98/x
  3. Step 3: Cross multiply
    12,950.93x = 19,425.51 × 5,051.98
  4. Step 4: Simplify right side
    12,950.93x = 98,137,332.50
  5. Step 5: Solve for x
    x = 98,137,332.50/12,950.93
  6. Step 6: Final answer
    x = 7,577.63

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Why These Related Problems?

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