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Finding the Fourth Proportional to 12,411.38, 18,599.70 and 9,624.98

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Solution

The fourth proportional to 12,411.38, 18,599.70 and 9,624.98 is: 14,424.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.38 : 18,599.70 = 9,624.98 : x
  2. Step 2: Convert to fraction form
    12,411.38/18,599.70 = 9,624.98/x
  3. Step 3: Cross multiply
    12,411.38x = 18,599.70 × 9,624.98
  4. Step 4: Simplify right side
    12,411.38x = 179,021,740.51
  5. Step 5: Solve for x
    x = 179,021,740.51/12,411.38
  6. Step 6: Final answer
    x = 14,424.00

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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.