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Finding the Fourth Proportional to 23,509.80, 32,444.04 and 12,900

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Solution

The fourth proportional to 23,509.80, 32,444.04 and 12,900 is: 17,802.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,509.80 : 32,444.04 = 12,900 : x
  2. Step 2: Convert to fraction form
    23,509.80/32,444.04 = 12,900/x
  3. Step 3: Cross multiply
    23,509.80x = 32,444.04 × 12,900
  4. Step 4: Simplify right side
    23,509.80x = 418,528,116
  5. Step 5: Solve for x
    x = 418,528,116/23,509.80
  6. Step 6: Final answer
    x = 17,802.28

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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.