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Finding the Fourth Proportional to 14,313.72, 19,746.14 and 9,535.89

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Solution

The fourth proportional to 14,313.72, 19,746.14 and 9,535.89 is: 13,154.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,313.72 : 19,746.14 = 9,535.89 : x
  2. Step 2: Convert to fraction form
    14,313.72/19,746.14 = 9,535.89/x
  3. Step 3: Cross multiply
    14,313.72x = 19,746.14 × 9,535.89
  4. Step 4: Simplify right side
    14,313.72x = 188,296,934.26
  5. Step 5: Solve for x
    x = 188,296,934.26/14,313.72
  6. Step 6: Final answer
    x = 13,154.99

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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.