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Finding the Fourth Proportional to 23,070.34, 34,605.53 and 6,430.80

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Solution

The fourth proportional to 23,070.34, 34,605.53 and 6,430.80 is: 9,646.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,070.34 : 34,605.53 = 6,430.80 : x
  2. Step 2: Convert to fraction form
    23,070.34/34,605.53 = 6,430.80/x
  3. Step 3: Cross multiply
    23,070.34x = 34,605.53 × 6,430.80
  4. Step 4: Simplify right side
    23,070.34x = 222,541,242.32
  5. Step 5: Solve for x
    x = 222,541,242.32/23,070.34
  6. Step 6: Final answer
    x = 9,646.21

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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.