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Finding the Fourth Proportional to 13,823.63, 19,077.28 and 7,775.77

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Solution

The fourth proportional to 13,823.63, 19,077.28 and 7,775.77 is: 10,730.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.63 : 19,077.28 = 7,775.77 : x
  2. Step 2: Convert to fraction form
    13,823.63/19,077.28 = 7,775.77/x
  3. Step 3: Cross multiply
    13,823.63x = 19,077.28 × 7,775.77
  4. Step 4: Simplify right side
    13,823.63x = 148,340,541.51
  5. Step 5: Solve for x
    x = 148,340,541.51/13,823.63
  6. Step 6: Final answer
    x = 10,730.94

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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.