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Finding the Fourth Proportional to 22,970.30, 34,475.70 and 13,598.60

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Solution

The fourth proportional to 22,970.30, 34,475.70 and 13,598.60 is: 20,409.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.30 : 34,475.70 = 13,598.60 : x
  2. Step 2: Convert to fraction form
    22,970.30/34,475.70 = 13,598.60/x
  3. Step 3: Cross multiply
    22,970.30x = 34,475.70 × 13,598.60
  4. Step 4: Simplify right side
    22,970.30x = 468,821,254.02
  5. Step 5: Solve for x
    x = 468,821,254.02/22,970.30
  6. Step 6: Final answer
    x = 20,409.89

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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.