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Finding the Fourth Proportional to 13,785.32, 19,032.84 and 12,290.64

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Solution

The fourth proportional to 13,785.32, 19,032.84 and 12,290.64 is: 16,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.32 : 19,032.84 = 12,290.64 : x
  2. Step 2: Convert to fraction form
    13,785.32/19,032.84 = 12,290.64/x
  3. Step 3: Cross multiply
    13,785.32x = 19,032.84 × 12,290.64
  4. Step 4: Simplify right side
    13,785.32x = 233,925,784.62
  5. Step 5: Solve for x
    x = 233,925,784.62/13,785.32
  6. Step 6: Final answer
    x = 16,969.20

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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.