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Finding the Fourth Proportional to 13,106.94, 19,646.56 and 9,407.16

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Solution

The fourth proportional to 13,106.94, 19,646.56 and 9,407.16 is: 14,100.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.94 : 19,646.56 = 9,407.16 : x
  2. Step 2: Convert to fraction form
    13,106.94/19,646.56 = 9,407.16/x
  3. Step 3: Cross multiply
    13,106.94x = 19,646.56 × 9,407.16
  4. Step 4: Simplify right side
    13,106.94x = 184,818,286.33
  5. Step 5: Solve for x
    x = 184,818,286.33/13,106.94
  6. Step 6: Final answer
    x = 14,100.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.