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Finding the Fourth Proportional to 13,695.66, 18,898.85 and 7,645.35

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Solution

The fourth proportional to 13,695.66, 18,898.85 and 7,645.35 is: 10,549.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,695.66 : 18,898.85 = 7,645.35 : x
  2. Step 2: Convert to fraction form
    13,695.66/18,898.85 = 7,645.35/x
  3. Step 3: Cross multiply
    13,695.66x = 18,898.85 × 7,645.35
  4. Step 4: Simplify right side
    13,695.66x = 144,488,322.85
  5. Step 5: Solve for x
    x = 144,488,322.85/13,695.66
  6. Step 6: Final answer
    x = 10,549.94

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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.