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Finding the Fourth Proportional to 23,156.49, 31,948.03 and 14,656.35

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Solution

The fourth proportional to 23,156.49, 31,948.03 and 14,656.35 is: 20,220.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,156.49 : 31,948.03 = 14,656.35 : x
  2. Step 2: Convert to fraction form
    23,156.49/31,948.03 = 14,656.35/x
  3. Step 3: Cross multiply
    23,156.49x = 31,948.03 × 14,656.35
  4. Step 4: Simplify right side
    23,156.49x = 468,241,509.49
  5. Step 5: Solve for x
    x = 468,241,509.49/23,156.49
  6. Step 6: Final answer
    x = 20,220.75

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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.