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Finding the Fourth Proportional to 19,897.26, 29,845.92 and 9,477.42

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Solution

The fourth proportional to 19,897.26, 29,845.92 and 9,477.42 is: 14,216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,897.26 : 29,845.92 = 9,477.42 : x
  2. Step 2: Convert to fraction form
    19,897.26/29,845.92 = 9,477.42/x
  3. Step 3: Cross multiply
    19,897.26x = 29,845.92 × 9,477.42
  4. Step 4: Simplify right side
    19,897.26x = 282,862,319.13
  5. Step 5: Solve for x
    x = 282,862,319.13/19,897.26
  6. Step 6: Final answer
    x = 14,216.14

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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.