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Finding the Fourth Proportional to 19,547.40, 29,277.90 and 16,091.40

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Solution

The fourth proportional to 19,547.40, 29,277.90 and 16,091.40 is: 24,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,547.40 : 29,277.90 = 16,091.40 : x
  2. Step 2: Convert to fraction form
    19,547.40/29,277.90 = 16,091.40/x
  3. Step 3: Cross multiply
    19,547.40x = 29,277.90 × 16,091.40
  4. Step 4: Simplify right side
    19,547.40x = 471,122,400.06
  5. Step 5: Solve for x
    x = 471,122,400.06/19,547.40
  6. Step 6: Final answer
    x = 24,101.54

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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.