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Finding the Fourth Proportional to 15,705.58, 21,678.76 and 10,055.54

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Solution

The fourth proportional to 15,705.58, 21,678.76 and 10,055.54 is: 13,879.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.58 : 21,678.76 = 10,055.54 : x
  2. Step 2: Convert to fraction form
    15,705.58/21,678.76 = 10,055.54/x
  3. Step 3: Cross multiply
    15,705.58x = 21,678.76 × 10,055.54
  4. Step 4: Simplify right side
    15,705.58x = 217,991,667.39
  5. Step 5: Solve for x
    x = 217,991,667.39/15,705.58
  6. Step 6: Final answer
    x = 13,879.89

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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.