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Finding the Fourth Proportional to 15,447.86, 21,306.80 and 9,783.54

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Solution

The fourth proportional to 15,447.86, 21,306.80 and 9,783.54 is: 13,494.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,447.86 : 21,306.80 = 9,783.54 : x
  2. Step 2: Convert to fraction form
    15,447.86/21,306.80 = 9,783.54/x
  3. Step 3: Cross multiply
    15,447.86x = 21,306.80 × 9,783.54
  4. Step 4: Simplify right side
    15,447.86x = 208,455,930.07
  5. Step 5: Solve for x
    x = 208,455,930.07/15,447.86
  6. Step 6: Final answer
    x = 13,494.16

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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.