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Finding the Fourth Proportional to 23,442.87, 32,349.93 and 12,830.46

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Solution

The fourth proportional to 23,442.87, 32,349.93 and 12,830.46 is: 17,705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,442.87 : 32,349.93 = 12,830.46 : x
  2. Step 2: Convert to fraction form
    23,442.87/32,349.93 = 12,830.46/x
  3. Step 3: Cross multiply
    23,442.87x = 32,349.93 × 12,830.46
  4. Step 4: Simplify right side
    23,442.87x = 415,064,482.87
  5. Step 5: Solve for x
    x = 415,064,482.87/23,442.87
  6. Step 6: Final answer
    x = 17,705.36

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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.