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Finding the Fourth Proportional to 14,013.14, 19,308.92 and 9,529.11

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Solution

The fourth proportional to 14,013.14, 19,308.92 and 9,529.11 is: 13,130.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,013.14 : 19,308.92 = 9,529.11 : x
  2. Step 2: Convert to fraction form
    14,013.14/19,308.92 = 9,529.11/x
  3. Step 3: Cross multiply
    14,013.14x = 19,308.92 × 9,529.11
  4. Step 4: Simplify right side
    14,013.14x = 183,996,775.02
  5. Step 5: Solve for x
    x = 183,996,775.02/14,013.14
  6. Step 6: Final answer
    x = 13,130.31

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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.