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Finding the Fourth Proportional to 17,406.64, 24,019.68 and 9,852.58

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Solution

The fourth proportional to 17,406.64, 24,019.68 and 9,852.58 is: 13,595.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406.64 : 24,019.68 = 9,852.58 : x
  2. Step 2: Convert to fraction form
    17,406.64/24,019.68 = 9,852.58/x
  3. Step 3: Cross multiply
    17,406.64x = 24,019.68 × 9,852.58
  4. Step 4: Simplify right side
    17,406.64x = 236,655,818.77
  5. Step 5: Solve for x
    x = 236,655,818.77/17,406.64
  6. Step 6: Final answer
    x = 13,595.72

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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.