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Finding the Fourth Proportional to 13,134.72, 19,702.08 and 5,341.76

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Solution

The fourth proportional to 13,134.72, 19,702.08 and 5,341.76 is: 8,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,134.72 : 19,702.08 = 5,341.76 : x
  2. Step 2: Convert to fraction form
    13,134.72/19,702.08 = 5,341.76/x
  3. Step 3: Cross multiply
    13,134.72x = 19,702.08 × 5,341.76
  4. Step 4: Simplify right side
    13,134.72x = 105,243,782.86
  5. Step 5: Solve for x
    x = 105,243,782.86/13,134.72
  6. Step 6: Final answer
    x = 8,012.64

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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.