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Finding the Fourth Proportional to 26,838.39, 37,038.26 and 15,509.40

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Solution

The fourth proportional to 26,838.39, 37,038.26 and 15,509.40 is: 21,403.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,838.39 : 37,038.26 = 15,509.40 : x
  2. Step 2: Convert to fraction form
    26,838.39/37,038.26 = 15,509.40/x
  3. Step 3: Cross multiply
    26,838.39x = 37,038.26 × 15,509.40
  4. Step 4: Simplify right side
    26,838.39x = 574,441,189.64
  5. Step 5: Solve for x
    x = 574,441,189.64/26,838.39
  6. Step 6: Final answer
    x = 21,403.71

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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.