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Finding the Fourth Proportional to 12,784.09, 17,637.48 and 7,403.59

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Solution

The fourth proportional to 12,784.09, 17,637.48 and 7,403.59 is: 10,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.09 : 17,637.48 = 7,403.59 : x
  2. Step 2: Convert to fraction form
    12,784.09/17,637.48 = 7,403.59/x
  3. Step 3: Cross multiply
    12,784.09x = 17,637.48 × 7,403.59
  4. Step 4: Simplify right side
    12,784.09x = 130,580,670.55
  5. Step 5: Solve for x
    x = 130,580,670.55/12,784.09
  6. Step 6: Final answer
    x = 10,214.31

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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.