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Finding the Fourth Proportional to 14,847.57, 22,271.76 and 4,985.01

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Solution

The fourth proportional to 14,847.57, 22,271.76 and 4,985.01 is: 7,477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,847.57 : 22,271.76 = 4,985.01 : x
  2. Step 2: Convert to fraction form
    14,847.57/22,271.76 = 4,985.01/x
  3. Step 3: Cross multiply
    14,847.57x = 22,271.76 × 4,985.01
  4. Step 4: Simplify right side
    14,847.57x = 111,024,946.32
  5. Step 5: Solve for x
    x = 111,024,946.32/14,847.57
  6. Step 6: Final answer
    x = 7,477.65

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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.