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Finding the Fourth Proportional to 13,547.85, 18,714.65 and 12,290.33

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Solution

The fourth proportional to 13,547.85, 18,714.65 and 12,290.33 is: 16,977.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.85 : 18,714.65 = 12,290.33 : x
  2. Step 2: Convert to fraction form
    13,547.85/18,714.65 = 12,290.33/x
  3. Step 3: Cross multiply
    13,547.85x = 18,714.65 × 12,290.33
  4. Step 4: Simplify right side
    13,547.85x = 230,009,069.31
  5. Step 5: Solve for x
    x = 230,009,069.31/13,547.85
  6. Step 6: Final answer
    x = 16,977.53

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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.