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Finding the Fourth Proportional to 24,598.65, 36,875.28 and 9,804

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Solution

The fourth proportional to 24,598.65, 36,875.28 and 9,804 is: 14,696.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,598.65 : 36,875.28 = 9,804 : x
  2. Step 2: Convert to fraction form
    24,598.65/36,875.28 = 9,804/x
  3. Step 3: Cross multiply
    24,598.65x = 36,875.28 × 9,804
  4. Step 4: Simplify right side
    24,598.65x = 361,525,245.12
  5. Step 5: Solve for x
    x = 361,525,245.12/24,598.65
  6. Step 6: Final answer
    x = 14,696.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.