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Finding the Fourth Proportional to 25,465.58, 38,176.65 and 9,661.77

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Solution

The fourth proportional to 25,465.58, 38,176.65 and 9,661.77 is: 14,484.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,465.58 : 38,176.65 = 9,661.77 : x
  2. Step 2: Convert to fraction form
    25,465.58/38,176.65 = 9,661.77/x
  3. Step 3: Cross multiply
    25,465.58x = 38,176.65 × 9,661.77
  4. Step 4: Simplify right side
    25,465.58x = 368,854,011.67
  5. Step 5: Solve for x
    x = 368,854,011.67/25,465.58
  6. Step 6: Final answer
    x = 14,484.41

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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.