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Finding the Fourth Proportional to 19,315.68, 28,970.88 and 6,166.56

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Solution

The fourth proportional to 19,315.68, 28,970.88 and 6,166.56 is: 9,249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,315.68 : 28,970.88 = 6,166.56 : x
  2. Step 2: Convert to fraction form
    19,315.68/28,970.88 = 6,166.56/x
  3. Step 3: Cross multiply
    19,315.68x = 28,970.88 × 6,166.56
  4. Step 4: Simplify right side
    19,315.68x = 178,650,669.77
  5. Step 5: Solve for x
    x = 178,650,669.77/19,315.68
  6. Step 6: Final answer
    x = 9,249.00

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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.