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Finding the Fourth Proportional to 19,677.60, 29,513.16 and 9,806.40

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Solution

The fourth proportional to 19,677.60, 29,513.16 and 9,806.40 is: 14,707.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,677.60 : 29,513.16 = 9,806.40 : x
  2. Step 2: Convert to fraction form
    19,677.60/29,513.16 = 9,806.40/x
  3. Step 3: Cross multiply
    19,677.60x = 29,513.16 × 9,806.40
  4. Step 4: Simplify right side
    19,677.60x = 289,417,852.22
  5. Step 5: Solve for x
    x = 289,417,852.22/19,677.60
  6. Step 6: Final answer
    x = 14,707.99

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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.