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Finding the Fourth Proportional to 14,005.70, 19,666.30 and 14,005.70

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Solution

The fourth proportional to 14,005.70, 19,666.30 and 14,005.70 is: 19,666.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005.70 : 19,666.30 = 14,005.70 : x
  2. Step 2: Convert to fraction form
    14,005.70/19,666.30 = 14,005.70/x
  3. Step 3: Cross multiply
    14,005.70x = 19,666.30 × 14,005.70
  4. Step 4: Simplify right side
    14,005.70x = 275,440,297.91
  5. Step 5: Solve for x
    x = 275,440,297.91/14,005.70
  6. Step 6: Final answer
    x = 19,666.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.