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Finding the Fourth Proportional to 14,211.84, 19,615.68 and 8,904

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Solution

The fourth proportional to 14,211.84, 19,615.68 and 8,904 is: 12,289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,211.84 : 19,615.68 = 8,904 : x
  2. Step 2: Convert to fraction form
    14,211.84/19,615.68 = 8,904/x
  3. Step 3: Cross multiply
    14,211.84x = 19,615.68 × 8,904
  4. Step 4: Simplify right side
    14,211.84x = 174,658,014.72
  5. Step 5: Solve for x
    x = 174,658,014.72/14,211.84
  6. Step 6: Final answer
    x = 12,289.61

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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.