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Finding the Fourth Proportional to 12,656.39, 18,970.30 and 7,715.18

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Solution

The fourth proportional to 12,656.39, 18,970.30 and 7,715.18 is: 11,564.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.39 : 18,970.30 = 7,715.18 : x
  2. Step 2: Convert to fraction form
    12,656.39/18,970.30 = 7,715.18/x
  3. Step 3: Cross multiply
    12,656.39x = 18,970.30 × 7,715.18
  4. Step 4: Simplify right side
    12,656.39x = 146,359,336.22
  5. Step 5: Solve for x
    x = 146,359,336.22/12,656.39
  6. Step 6: Final answer
    x = 11,564.07

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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.