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Finding the Fourth Proportional to 16,329.14, 24,501.16 and 9,678.77

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Solution

The fourth proportional to 16,329.14, 24,501.16 and 9,678.77 is: 14,522.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,329.14 : 24,501.16 = 9,678.77 : x
  2. Step 2: Convert to fraction form
    16,329.14/24,501.16 = 9,678.77/x
  3. Step 3: Cross multiply
    16,329.14x = 24,501.16 × 9,678.77
  4. Step 4: Simplify right side
    16,329.14x = 237,140,977.71
  5. Step 5: Solve for x
    x = 237,140,977.71/16,329.14
  6. Step 6: Final answer
    x = 14,522.56

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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.