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Finding the Fourth Proportional to 14,051.68, 21,082.98 and 12,903.50

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Solution

The fourth proportional to 14,051.68, 21,082.98 and 12,903.50 is: 19,360.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,051.68 : 21,082.98 = 12,903.50 : x
  2. Step 2: Convert to fraction form
    14,051.68/21,082.98 = 12,903.50/x
  3. Step 3: Cross multiply
    14,051.68x = 21,082.98 × 12,903.50
  4. Step 4: Simplify right side
    14,051.68x = 272,044,333.53
  5. Step 5: Solve for x
    x = 272,044,333.53/14,051.68
  6. Step 6: Final answer
    x = 19,360.27

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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.