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Finding the Fourth Proportional to 13,788.72, 19,015.20 and 9,261.63

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Solution

The fourth proportional to 13,788.72, 19,015.20 and 9,261.63 is: 12,772.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,788.72 : 19,015.20 = 9,261.63 : x
  2. Step 2: Convert to fraction form
    13,788.72/19,015.20 = 9,261.63/x
  3. Step 3: Cross multiply
    13,788.72x = 19,015.20 × 9,261.63
  4. Step 4: Simplify right side
    13,788.72x = 176,111,746.78
  5. Step 5: Solve for x
    x = 176,111,746.78/13,788.72
  6. Step 6: Final answer
    x = 12,772.16

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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.