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Finding the Fourth Proportional to 23,312.61, 32,173.71 and 14,237.46

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Solution

The fourth proportional to 23,312.61, 32,173.71 and 14,237.46 is: 19,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,312.61 : 32,173.71 = 14,237.46 : x
  2. Step 2: Convert to fraction form
    23,312.61/32,173.71 = 14,237.46/x
  3. Step 3: Cross multiply
    23,312.61x = 32,173.71 × 14,237.46
  4. Step 4: Simplify right side
    23,312.61x = 458,071,909.18
  5. Step 5: Solve for x
    x = 458,071,909.18/23,312.61
  6. Step 6: Final answer
    x = 19,649.10

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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.