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Finding the Fourth Proportional to 12,730.64, 19,068.28 and 7,785.32

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Solution

The fourth proportional to 12,730.64, 19,068.28 and 7,785.32 is: 11,661.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,730.64 : 19,068.28 = 7,785.32 : x
  2. Step 2: Convert to fraction form
    12,730.64/19,068.28 = 7,785.32/x
  3. Step 3: Cross multiply
    12,730.64x = 19,068.28 × 7,785.32
  4. Step 4: Simplify right side
    12,730.64x = 148,452,546.84
  5. Step 5: Solve for x
    x = 148,452,546.84/12,730.64
  6. Step 6: Final answer
    x = 11,661.05

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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.