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Finding the Fourth Proportional to 14,870.52, 22,271.73 and 7,477.08

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Solution

The fourth proportional to 14,870.52, 22,271.73 and 7,477.08 is: 11,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,870.52 : 22,271.73 = 7,477.08 : x
  2. Step 2: Convert to fraction form
    14,870.52/22,271.73 = 7,477.08/x
  3. Step 3: Cross multiply
    14,870.52x = 22,271.73 × 7,477.08
  4. Step 4: Simplify right side
    14,870.52x = 166,527,506.95
  5. Step 5: Solve for x
    x = 166,527,506.95/14,870.52
  6. Step 6: Final answer
    x = 11,198.50

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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.