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Finding the Fourth Proportional to 15,780.47, 21,784.94 and 9,814.06

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Solution

The fourth proportional to 15,780.47, 21,784.94 and 9,814.06 is: 13,548.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,780.47 : 21,784.94 = 9,814.06 : x
  2. Step 2: Convert to fraction form
    15,780.47/21,784.94 = 9,814.06/x
  3. Step 3: Cross multiply
    15,780.47x = 21,784.94 × 9,814.06
  4. Step 4: Simplify right side
    15,780.47x = 213,798,723.22
  5. Step 5: Solve for x
    x = 213,798,723.22/15,780.47
  6. Step 6: Final answer
    x = 13,548.32

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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.