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Finding the Fourth Proportional to 31,509.79, 43,483.15 and 17,897.74

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Solution

The fourth proportional to 31,509.79, 43,483.15 and 17,897.74 is: 24,698.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509.79 : 43,483.15 = 17,897.74 : x
  2. Step 2: Convert to fraction form
    31,509.79/43,483.15 = 17,897.74/x
  3. Step 3: Cross multiply
    31,509.79x = 43,483.15 × 17,897.74
  4. Step 4: Simplify right side
    31,509.79x = 778,250,113.08
  5. Step 5: Solve for x
    x = 778,250,113.08/31,509.79
  6. Step 6: Final answer
    x = 24,698.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.