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Finding the Fourth Proportional to 13,290.48, 19,897.11 and 7,726.86

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Solution

The fourth proportional to 13,290.48, 19,897.11 and 7,726.86 is: 11,567.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,290.48 : 19,897.11 = 7,726.86 : x
  2. Step 2: Convert to fraction form
    13,290.48/19,897.11 = 7,726.86/x
  3. Step 3: Cross multiply
    13,290.48x = 19,897.11 × 7,726.86
  4. Step 4: Simplify right side
    13,290.48x = 153,742,183.37
  5. Step 5: Solve for x
    x = 153,742,183.37/13,290.48
  6. Step 6: Final answer
    x = 11,567.84

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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.