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Finding the Fourth Proportional to 22,861.58, 31,547.98 and 12,788.11

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Solution

The fourth proportional to 22,861.58, 31,547.98 and 12,788.11 is: 17,647.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,861.58 : 31,547.98 = 12,788.11 : x
  2. Step 2: Convert to fraction form
    22,861.58/31,547.98 = 12,788.11/x
  3. Step 3: Cross multiply
    22,861.58x = 31,547.98 × 12,788.11
  4. Step 4: Simplify right side
    22,861.58x = 403,439,093.94
  5. Step 5: Solve for x
    x = 403,439,093.94/22,861.58
  6. Step 6: Final answer
    x = 17,647.04

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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.