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Finding the Fourth Proportional to 14,895.76, 22,324.46 and 7,875.50

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Solution

The fourth proportional to 14,895.76, 22,324.46 and 7,875.50 is: 11,803.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,895.76 : 22,324.46 = 7,875.50 : x
  2. Step 2: Convert to fraction form
    14,895.76/22,324.46 = 7,875.50/x
  3. Step 3: Cross multiply
    14,895.76x = 22,324.46 × 7,875.50
  4. Step 4: Simplify right side
    14,895.76x = 175,816,284.73
  5. Step 5: Solve for x
    x = 175,816,284.73/14,895.76
  6. Step 6: Final answer
    x = 11,803.11

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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.