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Finding the Fourth Proportional to 15,130.86, 22,688.46 and 6,803.76

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Solution

The fourth proportional to 15,130.86, 22,688.46 and 6,803.76 is: 10,202.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,130.86 : 22,688.46 = 6,803.76 : x
  2. Step 2: Convert to fraction form
    15,130.86/22,688.46 = 6,803.76/x
  3. Step 3: Cross multiply
    15,130.86x = 22,688.46 × 6,803.76
  4. Step 4: Simplify right side
    15,130.86x = 154,366,836.61
  5. Step 5: Solve for x
    x = 154,366,836.61/15,130.86
  6. Step 6: Final answer
    x = 10,202.12

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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.