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Finding the Fourth Proportional to 13,782.95, 19,023.59 and 8,407.20

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Solution

The fourth proportional to 13,782.95, 19,023.59 and 8,407.20 is: 11,603.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.95 : 19,023.59 = 8,407.20 : x
  2. Step 2: Convert to fraction form
    13,782.95/19,023.59 = 8,407.20/x
  3. Step 3: Cross multiply
    13,782.95x = 19,023.59 × 8,407.20
  4. Step 4: Simplify right side
    13,782.95x = 159,935,083.81
  5. Step 5: Solve for x
    x = 159,935,083.81/13,782.95
  6. Step 6: Final answer
    x = 11,603.84

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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.