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Finding the Fourth Proportional to 23,402.63, 32,312.54 and 14,462.39

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Solution

The fourth proportional to 23,402.63, 32,312.54 and 14,462.39 is: 19,968.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,402.63 : 32,312.54 = 14,462.39 : x
  2. Step 2: Convert to fraction form
    23,402.63/32,312.54 = 14,462.39/x
  3. Step 3: Cross multiply
    23,402.63x = 32,312.54 × 14,462.39
  4. Step 4: Simplify right side
    23,402.63x = 467,316,474.59
  5. Step 5: Solve for x
    x = 467,316,474.59/23,402.63
  6. Step 6: Final answer
    x = 19,968.55

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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.