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Finding the Fourth Proportional to 12,827.20, 18,547.60 and 12,827.20

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Solution

The fourth proportional to 12,827.20, 18,547.60 and 12,827.20 is: 18,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.20 : 18,547.60 = 12,827.20 : x
  2. Step 2: Convert to fraction form
    12,827.20/18,547.60 = 12,827.20/x
  3. Step 3: Cross multiply
    12,827.20x = 18,547.60 × 12,827.20
  4. Step 4: Simplify right side
    12,827.20x = 237,913,774.72
  5. Step 5: Solve for x
    x = 237,913,774.72/12,827.20
  6. Step 6: Final answer
    x = 18,547.60

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.