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Finding the Fourth Proportional to 23,507.77, 32,441.25 and 12,897.37

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Solution

The fourth proportional to 23,507.77, 32,441.25 and 12,897.37 is: 17,798.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,507.77 : 32,441.25 = 12,897.37 : x
  2. Step 2: Convert to fraction form
    23,507.77/32,441.25 = 12,897.37/x
  3. Step 3: Cross multiply
    23,507.77x = 32,441.25 × 12,897.37
  4. Step 4: Simplify right side
    23,507.77x = 418,406,804.51
  5. Step 5: Solve for x
    x = 418,406,804.51/23,507.77
  6. Step 6: Final answer
    x = 17,798.66

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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.