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Finding the Fourth Proportional to 16,005.98, 22,088.22 and 8,931.98

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Solution

The fourth proportional to 16,005.98, 22,088.22 and 8,931.98 is: 12,326.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.98 : 22,088.22 = 8,931.98 : x
  2. Step 2: Convert to fraction form
    16,005.98/22,088.22 = 8,931.98/x
  3. Step 3: Cross multiply
    16,005.98x = 22,088.22 × 8,931.98
  4. Step 4: Simplify right side
    16,005.98x = 197,291,539.28
  5. Step 5: Solve for x
    x = 197,291,539.28/16,005.98
  6. Step 6: Final answer
    x = 12,326.11

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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.