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Finding the Fourth Proportional to 12,594.24, 18,888.57 and 7,646.13

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Solution

The fourth proportional to 12,594.24, 18,888.57 and 7,646.13 is: 11,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.24 : 18,888.57 = 7,646.13 : x
  2. Step 2: Convert to fraction form
    12,594.24/18,888.57 = 7,646.13/x
  3. Step 3: Cross multiply
    12,594.24x = 18,888.57 × 7,646.13
  4. Step 4: Simplify right side
    12,594.24x = 144,424,461.73
  5. Step 5: Solve for x
    x = 144,424,461.73/12,594.24
  6. Step 6: Final answer
    x = 11,467.50

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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.