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Finding the Fourth Proportional to 15,677.76, 21,636.64 and 8,605.60

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Solution

The fourth proportional to 15,677.76, 21,636.64 and 8,605.60 is: 11,876.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,677.76 : 21,636.64 = 8,605.60 : x
  2. Step 2: Convert to fraction form
    15,677.76/21,636.64 = 8,605.60/x
  3. Step 3: Cross multiply
    15,677.76x = 21,636.64 × 8,605.60
  4. Step 4: Simplify right side
    15,677.76x = 186,196,269.18
  5. Step 5: Solve for x
    x = 186,196,269.18/15,677.76
  6. Step 6: Final answer
    x = 11,876.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.