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Finding the Fourth Proportional to 14,557.84, 20,088.68 and 9,444.24

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Solution

The fourth proportional to 14,557.84, 20,088.68 and 9,444.24 is: 13,032.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,557.84 : 20,088.68 = 9,444.24 : x
  2. Step 2: Convert to fraction form
    14,557.84/20,088.68 = 9,444.24/x
  3. Step 3: Cross multiply
    14,557.84x = 20,088.68 × 9,444.24
  4. Step 4: Simplify right side
    14,557.84x = 189,722,315.20
  5. Step 5: Solve for x
    x = 189,722,315.20/14,557.84
  6. Step 6: Final answer
    x = 13,032.31

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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.