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Finding the Fourth Proportional to 14,430.53, 19,901.57 and 10,174.08

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Solution

The fourth proportional to 14,430.53, 19,901.57 and 10,174.08 is: 14,031.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,430.53 : 19,901.57 = 10,174.08 : x
  2. Step 2: Convert to fraction form
    14,430.53/19,901.57 = 10,174.08/x
  3. Step 3: Cross multiply
    14,430.53x = 19,901.57 × 10,174.08
  4. Step 4: Simplify right side
    14,430.53x = 202,480,165.31
  5. Step 5: Solve for x
    x = 202,480,165.31/14,430.53
  6. Step 6: Final answer
    x = 14,031.37

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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.