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Finding the Fourth Proportional to 16,506.06, 22,776.03 and 9,430.98

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Solution

The fourth proportional to 16,506.06, 22,776.03 and 9,430.98 is: 13,013.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.06 : 22,776.03 = 9,430.98 : x
  2. Step 2: Convert to fraction form
    16,506.06/22,776.03 = 9,430.98/x
  3. Step 3: Cross multiply
    16,506.06x = 22,776.03 × 9,430.98
  4. Step 4: Simplify right side
    16,506.06x = 214,800,283.41
  5. Step 5: Solve for x
    x = 214,800,283.41/16,506.06
  6. Step 6: Final answer
    x = 13,013.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.