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Finding the Fourth Proportional to 24,328.47, 36,471.06 and 9,547.95

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Solution

The fourth proportional to 24,328.47, 36,471.06 and 9,547.95 is: 14,313.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,328.47 : 36,471.06 = 9,547.95 : x
  2. Step 2: Convert to fraction form
    24,328.47/36,471.06 = 9,547.95/x
  3. Step 3: Cross multiply
    24,328.47x = 36,471.06 × 9,547.95
  4. Step 4: Simplify right side
    24,328.47x = 348,223,857.33
  5. Step 5: Solve for x
    x = 348,223,857.33/24,328.47
  6. Step 6: Final answer
    x = 14,313.43

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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.