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Finding the Fourth Proportional to 10,302.50, 14,210.19 and 9,959.58

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Solution

The fourth proportional to 10,302.50, 14,210.19 and 9,959.58 is: 13,737.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.50 : 14,210.19 = 9,959.58 : x
  2. Step 2: Convert to fraction form
    10,302.50/14,210.19 = 9,959.58/x
  3. Step 3: Cross multiply
    10,302.50x = 14,210.19 × 9,959.58
  4. Step 4: Simplify right side
    10,302.50x = 141,527,524.12
  5. Step 5: Solve for x
    x = 141,527,524.12/10,302.50
  6. Step 6: Final answer
    x = 13,737.20

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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.