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Finding the Fourth Proportional to 14,859.37, 22,280.55 and 6,089.50

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Solution

The fourth proportional to 14,859.37, 22,280.55 and 6,089.50 is: 9,130.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,859.37 : 22,280.55 = 6,089.50 : x
  2. Step 2: Convert to fraction form
    14,859.37/22,280.55 = 6,089.50/x
  3. Step 3: Cross multiply
    14,859.37x = 22,280.55 × 6,089.50
  4. Step 4: Simplify right side
    14,859.37x = 135,677,409.23
  5. Step 5: Solve for x
    x = 135,677,409.23/14,859.37
  6. Step 6: Final answer
    x = 9,130.76

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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.