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Finding the Fourth Proportional to 12,956.16, 19,445.76 and 6,032.64

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Solution

The fourth proportional to 12,956.16, 19,445.76 and 6,032.64 is: 9,054.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,956.16 : 19,445.76 = 6,032.64 : x
  2. Step 2: Convert to fraction form
    12,956.16/19,445.76 = 6,032.64/x
  3. Step 3: Cross multiply
    12,956.16x = 19,445.76 × 6,032.64
  4. Step 4: Simplify right side
    12,956.16x = 117,309,269.61
  5. Step 5: Solve for x
    x = 117,309,269.61/12,956.16
  6. Step 6: Final answer
    x = 9,054.32

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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.