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Finding the Fourth Proportional to 16,358.50, 22,577.16 and 9,641.98

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Solution

The fourth proportional to 16,358.50, 22,577.16 and 9,641.98 is: 13,307.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,358.50 : 22,577.16 = 9,641.98 : x
  2. Step 2: Convert to fraction form
    16,358.50/22,577.16 = 9,641.98/x
  3. Step 3: Cross multiply
    16,358.50x = 22,577.16 × 9,641.98
  4. Step 4: Simplify right side
    16,358.50x = 217,688,525.18
  5. Step 5: Solve for x
    x = 217,688,525.18/16,358.50
  6. Step 6: Final answer
    x = 13,307.36

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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.