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Finding the Fourth Proportional to 15,056.40, 20,776.66 and 8,341.50

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Solution

The fourth proportional to 15,056.40, 20,776.66 and 8,341.50 is: 11,510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,056.40 : 20,776.66 = 8,341.50 : x
  2. Step 2: Convert to fraction form
    15,056.40/20,776.66 = 8,341.50/x
  3. Step 3: Cross multiply
    15,056.40x = 20,776.66 × 8,341.50
  4. Step 4: Simplify right side
    15,056.40x = 173,308,509.39
  5. Step 5: Solve for x
    x = 173,308,509.39/15,056.40
  6. Step 6: Final answer
    x = 11,510.62

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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.