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Finding the Fourth Proportional to 13,776.24, 19,011.36 and 7,488.72

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Solution

The fourth proportional to 13,776.24, 19,011.36 and 7,488.72 is: 10,334.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.24 : 19,011.36 = 7,488.72 : x
  2. Step 2: Convert to fraction form
    13,776.24/19,011.36 = 7,488.72/x
  3. Step 3: Cross multiply
    13,776.24x = 19,011.36 × 7,488.72
  4. Step 4: Simplify right side
    13,776.24x = 142,370,751.86
  5. Step 5: Solve for x
    x = 142,370,751.86/13,776.24
  6. Step 6: Final answer
    x = 10,334.51

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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.