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Finding the Fourth Proportional to 14,072.90, 19,428.68 and 10,507.50

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Solution

The fourth proportional to 14,072.90, 19,428.68 and 10,507.50 is: 14,506.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,072.90 : 19,428.68 = 10,507.50 : x
  2. Step 2: Convert to fraction form
    14,072.90/19,428.68 = 10,507.50/x
  3. Step 3: Cross multiply
    14,072.90x = 19,428.68 × 10,507.50
  4. Step 4: Simplify right side
    14,072.90x = 204,146,802.56
  5. Step 5: Solve for x
    x = 204,146,802.56/14,072.90
  6. Step 6: Final answer
    x = 14,506.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.