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Finding the Fourth Proportional to 14,402.49, 21,590.91 and 5,643.51

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Solution

The fourth proportional to 14,402.49, 21,590.91 and 5,643.51 is: 8,460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402.49 : 21,590.91 = 5,643.51 : x
  2. Step 2: Convert to fraction form
    14,402.49/21,590.91 = 5,643.51/x
  3. Step 3: Cross multiply
    14,402.49x = 21,590.91 × 5,643.51
  4. Step 4: Simplify right side
    14,402.49x = 121,848,516.49
  5. Step 5: Solve for x
    x = 121,848,516.49/14,402.49
  6. Step 6: Final answer
    x = 8,460.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.