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Finding the Fourth Proportional to 16,014.34, 22,106.82 and 9,970.12

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Solution

The fourth proportional to 16,014.34, 22,106.82 and 9,970.12 is: 13,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,014.34 : 22,106.82 = 9,970.12 : x
  2. Step 2: Convert to fraction form
    16,014.34/22,106.82 = 9,970.12/x
  3. Step 3: Cross multiply
    16,014.34x = 22,106.82 × 9,970.12
  4. Step 4: Simplify right side
    16,014.34x = 220,407,648.22
  5. Step 5: Solve for x
    x = 220,407,648.22/16,014.34
  6. Step 6: Final answer
    x = 13,763.14

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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.