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Finding the Fourth Proportional to 10,011.96, 15,025.65 and 9,498.06

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Solution

The fourth proportional to 10,011.96, 15,025.65 and 9,498.06 is: 14,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011.96 : 15,025.65 = 9,498.06 : x
  2. Step 2: Convert to fraction form
    10,011.96/15,025.65 = 9,498.06/x
  3. Step 3: Cross multiply
    10,011.96x = 15,025.65 × 9,498.06
  4. Step 4: Simplify right side
    10,011.96x = 142,714,525.24
  5. Step 5: Solve for x
    x = 142,714,525.24/10,011.96
  6. Step 6: Final answer
    x = 14,254.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.