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Finding the Fourth Proportional to 12,307.77, 18,478.06 and 10,470.69

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Solution

The fourth proportional to 12,307.77, 18,478.06 and 10,470.69 is: 15,719.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.77 : 18,478.06 = 10,470.69 : x
  2. Step 2: Convert to fraction form
    12,307.77/18,478.06 = 10,470.69/x
  3. Step 3: Cross multiply
    12,307.77x = 18,478.06 × 10,470.69
  4. Step 4: Simplify right side
    12,307.77x = 193,478,011.88
  5. Step 5: Solve for x
    x = 193,478,011.88/12,307.77
  6. Step 6: Final answer
    x = 15,719.99

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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.