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Finding the Fourth Proportional to 14,068.98, 21,054 and 11,116.50

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Solution

The fourth proportional to 14,068.98, 21,054 and 11,116.50 is: 16,635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,068.98 : 21,054 = 11,116.50 : x
  2. Step 2: Convert to fraction form
    14,068.98/21,054 = 11,116.50/x
  3. Step 3: Cross multiply
    14,068.98x = 21,054 × 11,116.50
  4. Step 4: Simplify right side
    14,068.98x = 234,046,791
  5. Step 5: Solve for x
    x = 234,046,791/14,068.98
  6. Step 6: Final answer
    x = 16,635.66

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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.