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Finding the Fourth Proportional to 14,609.76, 21,910 and 4,746.72

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Solution

The fourth proportional to 14,609.76, 21,910 and 4,746.72 is: 7,118.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609.76 : 21,910 = 4,746.72 : x
  2. Step 2: Convert to fraction form
    14,609.76/21,910 = 4,746.72/x
  3. Step 3: Cross multiply
    14,609.76x = 21,910 × 4,746.72
  4. Step 4: Simplify right side
    14,609.76x = 104,000,635.20
  5. Step 5: Solve for x
    x = 104,000,635.20/14,609.76
  6. Step 6: Final answer
    x = 7,118.57

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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.