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Finding the Fourth Proportional to 12,924.72, 17,830.80 and 8,207.28

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Solution

The fourth proportional to 12,924.72, 17,830.80 and 8,207.28 is: 11,322.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,924.72 : 17,830.80 = 8,207.28 : x
  2. Step 2: Convert to fraction form
    12,924.72/17,830.80 = 8,207.28/x
  3. Step 3: Cross multiply
    12,924.72x = 17,830.80 × 8,207.28
  4. Step 4: Simplify right side
    12,924.72x = 146,342,368.22
  5. Step 5: Solve for x
    x = 146,342,368.22/12,924.72
  6. Step 6: Final answer
    x = 11,322.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.