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Finding the Fourth Proportional to 16,364.38, 24,547.80 and 4,678.51

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Solution

The fourth proportional to 16,364.38, 24,547.80 and 4,678.51 is: 7,018.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,364.38 : 24,547.80 = 4,678.51 : x
  2. Step 2: Convert to fraction form
    16,364.38/24,547.80 = 4,678.51/x
  3. Step 3: Cross multiply
    16,364.38x = 24,547.80 × 4,678.51
  4. Step 4: Simplify right side
    16,364.38x = 114,847,127.78
  5. Step 5: Solve for x
    x = 114,847,127.78/16,364.38
  6. Step 6: Final answer
    x = 7,018.12

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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.