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Finding the Fourth Proportional to 23,830.95, 35,698.74 and 14,338.02

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Solution

The fourth proportional to 23,830.95, 35,698.74 and 14,338.02 is: 21,478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.95 : 35,698.74 = 14,338.02 : x
  2. Step 2: Convert to fraction form
    23,830.95/35,698.74 = 14,338.02/x
  3. Step 3: Cross multiply
    23,830.95x = 35,698.74 × 14,338.02
  4. Step 4: Simplify right side
    23,830.95x = 511,849,248.09
  5. Step 5: Solve for x
    x = 511,849,248.09/23,830.95
  6. Step 6: Final answer
    x = 21,478.34

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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.