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Finding the Fourth Proportional to 23,507.51, 32,440.59 and 12,897.53

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Solution

The fourth proportional to 23,507.51, 32,440.59 and 12,897.53 is: 17,798.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,507.51 : 32,440.59 = 12,897.53 : x
  2. Step 2: Convert to fraction form
    23,507.51/32,440.59 = 12,897.53/x
  3. Step 3: Cross multiply
    23,507.51x = 32,440.59 × 12,897.53
  4. Step 4: Simplify right side
    23,507.51x = 418,403,256.05
  5. Step 5: Solve for x
    x = 418,403,256.05/23,507.51
  6. Step 6: Final answer
    x = 17,798.71

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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.