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Finding the Fourth Proportional to 19,282.95, 28,928.76 and 6,803.08

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Solution

The fourth proportional to 19,282.95, 28,928.76 and 6,803.08 is: 10,206.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,282.95 : 28,928.76 = 6,803.08 : x
  2. Step 2: Convert to fraction form
    19,282.95/28,928.76 = 6,803.08/x
  3. Step 3: Cross multiply
    19,282.95x = 28,928.76 × 6,803.08
  4. Step 4: Simplify right side
    19,282.95x = 196,804,539.63
  5. Step 5: Solve for x
    x = 196,804,539.63/19,282.95
  6. Step 6: Final answer
    x = 10,206.14

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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.