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Finding the Fourth Proportional to 15,970.80, 22,038.48 and 9,164.88

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Solution

The fourth proportional to 15,970.80, 22,038.48 and 9,164.88 is: 12,646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,970.80 : 22,038.48 = 9,164.88 : x
  2. Step 2: Convert to fraction form
    15,970.80/22,038.48 = 9,164.88/x
  3. Step 3: Cross multiply
    15,970.80x = 22,038.48 × 9,164.88
  4. Step 4: Simplify right side
    15,970.80x = 201,980,024.58
  5. Step 5: Solve for x
    x = 201,980,024.58/15,970.80
  6. Step 6: Final answer
    x = 12,646.83

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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.