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Finding the Fourth Proportional to 16,407.70, 22,642.10 and 9,237.98

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Solution

The fourth proportional to 16,407.70, 22,642.10 and 9,237.98 is: 12,748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.70 : 22,642.10 = 9,237.98 : x
  2. Step 2: Convert to fraction form
    16,407.70/22,642.10 = 9,237.98/x
  3. Step 3: Cross multiply
    16,407.70x = 22,642.10 × 9,237.98
  4. Step 4: Simplify right side
    16,407.70x = 209,167,312.02
  5. Step 5: Solve for x
    x = 209,167,312.02/16,407.70
  6. Step 6: Final answer
    x = 12,748.12

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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.