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Finding the Fourth Proportional to 34,547.86, 51,814.05 and 13,488.40

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Solution

The fourth proportional to 34,547.86, 51,814.05 and 13,488.40 is: 20,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,547.86 : 51,814.05 = 13,488.40 : x
  2. Step 2: Convert to fraction form
    34,547.86/51,814.05 = 13,488.40/x
  3. Step 3: Cross multiply
    34,547.86x = 51,814.05 × 13,488.40
  4. Step 4: Simplify right side
    34,547.86x = 698,888,632.02
  5. Step 5: Solve for x
    x = 698,888,632.02/34,547.86
  6. Step 6: Final answer
    x = 20,229.58

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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.