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Finding the Fourth Proportional to 23,506.50, 32,437.89 and 14,080.26

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Solution

The fourth proportional to 23,506.50, 32,437.89 and 14,080.26 is: 19,430.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,506.50 : 32,437.89 = 14,080.26 : x
  2. Step 2: Convert to fraction form
    23,506.50/32,437.89 = 14,080.26/x
  3. Step 3: Cross multiply
    23,506.50x = 32,437.89 × 14,080.26
  4. Step 4: Simplify right side
    23,506.50x = 456,733,925.05
  5. Step 5: Solve for x
    x = 456,733,925.05/23,506.50
  6. Step 6: Final answer
    x = 19,430.11

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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.