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Finding the Fourth Proportional to 12,547.80, 18,823.49 and 4,112.50

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Solution

The fourth proportional to 12,547.80, 18,823.49 and 4,112.50 is: 6,169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.80 : 18,823.49 = 4,112.50 : x
  2. Step 2: Convert to fraction form
    12,547.80/18,823.49 = 4,112.50/x
  3. Step 3: Cross multiply
    12,547.80x = 18,823.49 × 4,112.50
  4. Step 4: Simplify right side
    12,547.80x = 77,411,602.63
  5. Step 5: Solve for x
    x = 77,411,602.63/12,547.80
  6. Step 6: Final answer
    x = 6,169.34

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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.