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Finding the Fourth Proportional to 30,921.60, 46,386.09 and 9,854.34

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Solution

The fourth proportional to 30,921.60, 46,386.09 and 9,854.34 is: 14,782.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,921.60 : 46,386.09 = 9,854.34 : x
  2. Step 2: Convert to fraction form
    30,921.60/46,386.09 = 9,854.34/x
  3. Step 3: Cross multiply
    30,921.60x = 46,386.09 × 9,854.34
  4. Step 4: Simplify right side
    30,921.60x = 457,104,302.13
  5. Step 5: Solve for x
    x = 457,104,302.13/30,921.60
  6. Step 6: Final answer
    x = 14,782.69

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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.