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Finding the Fourth Proportional to 13,656.63, 20,492.90 and 5,758.67

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Solution

The fourth proportional to 13,656.63, 20,492.90 and 5,758.67 is: 8,641.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,656.63 : 20,492.90 = 5,758.67 : x
  2. Step 2: Convert to fraction form
    13,656.63/20,492.90 = 5,758.67/x
  3. Step 3: Cross multiply
    13,656.63x = 20,492.90 × 5,758.67
  4. Step 4: Simplify right side
    13,656.63x = 118,011,717.19
  5. Step 5: Solve for x
    x = 118,011,717.19/13,656.63
  6. Step 6: Final answer
    x = 8,641.35

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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.