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Finding the Fourth Proportional to 13,385.58, 18,470.60 and 7,415.76

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Solution

The fourth proportional to 13,385.58, 18,470.60 and 7,415.76 is: 10,232.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.58 : 18,470.60 = 7,415.76 : x
  2. Step 2: Convert to fraction form
    13,385.58/18,470.60 = 7,415.76/x
  3. Step 3: Cross multiply
    13,385.58x = 18,470.60 × 7,415.76
  4. Step 4: Simplify right side
    13,385.58x = 136,973,536.66
  5. Step 5: Solve for x
    x = 136,973,536.66/13,385.58
  6. Step 6: Final answer
    x = 10,232.92

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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.