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Finding the Fourth Proportional to 46,009.14, 69,013.60 and 14,421.60

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Solution

The fourth proportional to 46,009.14, 69,013.60 and 14,421.60 is: 21,632.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,009.14 : 69,013.60 = 14,421.60 : x
  2. Step 2: Convert to fraction form
    46,009.14/69,013.60 = 14,421.60/x
  3. Step 3: Cross multiply
    46,009.14x = 69,013.60 × 14,421.60
  4. Step 4: Simplify right side
    46,009.14x = 995,286,533.76
  5. Step 5: Solve for x
    x = 995,286,533.76/46,009.14
  6. Step 6: Final answer
    x = 21,632.37

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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.