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Finding the Fourth Proportional to 23,901.84, 32,971.06 and 14,339.16

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Solution

The fourth proportional to 23,901.84, 32,971.06 and 14,339.16 is: 19,779.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,901.84 : 32,971.06 = 14,339.16 : x
  2. Step 2: Convert to fraction form
    23,901.84/32,971.06 = 14,339.16/x
  3. Step 3: Cross multiply
    23,901.84x = 32,971.06 × 14,339.16
  4. Step 4: Simplify right side
    23,901.84x = 472,777,304.71
  5. Step 5: Solve for x
    x = 472,777,304.71/23,901.84
  6. Step 6: Final answer
    x = 19,779.95

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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.