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Finding the Fourth Proportional to 19,957.76, 29,930.16 and 9,426.16

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Solution

The fourth proportional to 19,957.76, 29,930.16 and 9,426.16 is: 14,136.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,957.76 : 29,930.16 = 9,426.16 : x
  2. Step 2: Convert to fraction form
    19,957.76/29,930.16 = 9,426.16/x
  3. Step 3: Cross multiply
    19,957.76x = 29,930.16 × 9,426.16
  4. Step 4: Simplify right side
    19,957.76x = 282,126,476.99
  5. Step 5: Solve for x
    x = 282,126,476.99/19,957.76
  6. Step 6: Final answer
    x = 14,136.18

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1.5x scale

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.