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Finding the Fourth Proportional to 14,844.50, 22,270.62 and 6,526.16

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Solution

The fourth proportional to 14,844.50, 22,270.62 and 6,526.16 is: 9,790.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,844.50 : 22,270.62 = 6,526.16 : x
  2. Step 2: Convert to fraction form
    14,844.50/22,270.62 = 6,526.16/x
  3. Step 3: Cross multiply
    14,844.50x = 22,270.62 × 6,526.16
  4. Step 4: Simplify right side
    14,844.50x = 145,341,518.07
  5. Step 5: Solve for x
    x = 145,341,518.07/14,844.50
  6. Step 6: Final answer
    x = 9,790.94

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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.