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Finding the Fourth Proportional to 22,897.69, 31,583.03 and 16,106.11

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Solution

The fourth proportional to 22,897.69, 31,583.03 and 16,106.11 is: 22,215.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,897.69 : 31,583.03 = 16,106.11 : x
  2. Step 2: Convert to fraction form
    22,897.69/31,583.03 = 16,106.11/x
  3. Step 3: Cross multiply
    22,897.69x = 31,583.03 × 16,106.11
  4. Step 4: Simplify right side
    22,897.69x = 508,679,714.26
  5. Step 5: Solve for x
    x = 508,679,714.26/22,897.69
  6. Step 6: Final answer
    x = 22,215.33

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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.