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Finding the Fourth Proportional to 14,971.84, 22,464.20 and 6,208.72

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Solution

The fourth proportional to 14,971.84, 22,464.20 and 6,208.72 is: 9,315.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.84 : 22,464.20 = 6,208.72 : x
  2. Step 2: Convert to fraction form
    14,971.84/22,464.20 = 6,208.72/x
  3. Step 3: Cross multiply
    14,971.84x = 22,464.20 × 6,208.72
  4. Step 4: Simplify right side
    14,971.84x = 139,473,927.82
  5. Step 5: Solve for x
    x = 139,473,927.82/14,971.84
  6. Step 6: Final answer
    x = 9,315.75

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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.