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Finding the Fourth Proportional to 16,365.20, 24,547.20 and 4,678.40

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Solution

The fourth proportional to 16,365.20, 24,547.20 and 4,678.40 is: 7,017.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,365.20 : 24,547.20 = 4,678.40 : x
  2. Step 2: Convert to fraction form
    16,365.20/24,547.20 = 4,678.40/x
  3. Step 3: Cross multiply
    16,365.20x = 24,547.20 × 4,678.40
  4. Step 4: Simplify right side
    16,365.20x = 114,841,620.48
  5. Step 5: Solve for x
    x = 114,841,620.48/16,365.20
  6. Step 6: Final answer
    x = 7,017.43

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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.