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Finding the Fourth Proportional to 15,384.41, 21,235.76 and 9,013.05

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Solution

The fourth proportional to 15,384.41, 21,235.76 and 9,013.05 is: 12,441.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384.41 : 21,235.76 = 9,013.05 : x
  2. Step 2: Convert to fraction form
    15,384.41/21,235.76 = 9,013.05/x
  3. Step 3: Cross multiply
    15,384.41x = 21,235.76 × 9,013.05
  4. Step 4: Simplify right side
    15,384.41x = 191,399,019.76
  5. Step 5: Solve for x
    x = 191,399,019.76/15,384.41
  6. Step 6: Final answer
    x = 12,441.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.