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Finding the Fourth Proportional to 19,733.83, 29,597.10 and 8,638.45

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Solution

The fourth proportional to 19,733.83, 29,597.10 and 8,638.45 is: 12,956.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,733.83 : 29,597.10 = 8,638.45 : x
  2. Step 2: Convert to fraction form
    19,733.83/29,597.10 = 8,638.45/x
  3. Step 3: Cross multiply
    19,733.83x = 29,597.10 × 8,638.45
  4. Step 4: Simplify right side
    19,733.83x = 255,672,962.11
  5. Step 5: Solve for x
    x = 255,672,962.11/19,733.83
  6. Step 6: Final answer
    x = 12,956.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.