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Finding the Fourth Proportional to 19,533.09, 26,955.49 and 10,580.06

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Solution

The fourth proportional to 19,533.09, 26,955.49 and 10,580.06 is: 14,600.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,533.09 : 26,955.49 = 10,580.06 : x
  2. Step 2: Convert to fraction form
    19,533.09/26,955.49 = 10,580.06/x
  3. Step 3: Cross multiply
    19,533.09x = 26,955.49 × 10,580.06
  4. Step 4: Simplify right side
    19,533.09x = 285,190,701.53
  5. Step 5: Solve for x
    x = 285,190,701.53/19,533.09
  6. Step 6: Final answer
    x = 14,600.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.