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Finding the Fourth Proportional to 15,070.66, 22,598.70 and 5,206.48

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Solution

The fourth proportional to 15,070.66, 22,598.70 and 5,206.48 is: 7,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,070.66 : 22,598.70 = 5,206.48 : x
  2. Step 2: Convert to fraction form
    15,070.66/22,598.70 = 5,206.48/x
  3. Step 3: Cross multiply
    15,070.66x = 22,598.70 × 5,206.48
  4. Step 4: Simplify right side
    15,070.66x = 117,659,679.58
  5. Step 5: Solve for x
    x = 117,659,679.58/15,070.66
  6. Step 6: Final answer
    x = 7,807.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.