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Finding the Fourth Proportional to 13,066.59, 19,585.30 and 5,659.95

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Solution

The fourth proportional to 13,066.59, 19,585.30 and 5,659.95 is: 8,483.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,066.59 : 19,585.30 = 5,659.95 : x
  2. Step 2: Convert to fraction form
    13,066.59/19,585.30 = 5,659.95/x
  3. Step 3: Cross multiply
    13,066.59x = 19,585.30 × 5,659.95
  4. Step 4: Simplify right side
    13,066.59x = 110,851,804.59
  5. Step 5: Solve for x
    x = 110,851,804.59/13,066.59
  6. Step 6: Final answer
    x = 8,483.61

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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.