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Finding the Fourth Proportional to 16,688.76, 23,038.80 and 9,613.80

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Solution

The fourth proportional to 16,688.76, 23,038.80 and 9,613.80 is: 13,271.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,688.76 : 23,038.80 = 9,613.80 : x
  2. Step 2: Convert to fraction form
    16,688.76/23,038.80 = 9,613.80/x
  3. Step 3: Cross multiply
    16,688.76x = 23,038.80 × 9,613.80
  4. Step 4: Simplify right side
    16,688.76x = 221,490,415.44
  5. Step 5: Solve for x
    x = 221,490,415.44/16,688.76
  6. Step 6: Final answer
    x = 13,271.83

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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.