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Finding the Fourth Proportional to 16,482.96, 22,746.24 and 8,929.08

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Solution

The fourth proportional to 16,482.96, 22,746.24 and 8,929.08 is: 12,322.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,482.96 : 22,746.24 = 8,929.08 : x
  2. Step 2: Convert to fraction form
    16,482.96/22,746.24 = 8,929.08/x
  3. Step 3: Cross multiply
    16,482.96x = 22,746.24 × 8,929.08
  4. Step 4: Simplify right side
    16,482.96x = 203,102,996.66
  5. Step 5: Solve for x
    x = 203,102,996.66/16,482.96
  6. Step 6: Final answer
    x = 12,322.00

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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.