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Finding the Fourth Proportional to 13,686.59, 20,478.62 and 9,746.95

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Solution

The fourth proportional to 13,686.59, 20,478.62 and 9,746.95 is: 14,583.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.59 : 20,478.62 = 9,746.95 : x
  2. Step 2: Convert to fraction form
    13,686.59/20,478.62 = 9,746.95/x
  3. Step 3: Cross multiply
    13,686.59x = 20,478.62 × 9,746.95
  4. Step 4: Simplify right side
    13,686.59x = 199,604,085.21
  5. Step 5: Solve for x
    x = 199,604,085.21/13,686.59
  6. Step 6: Final answer
    x = 14,583.92

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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.