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Finding the Fourth Proportional to 15,814.41, 23,715.08 and 6,448.07

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Solution

The fourth proportional to 15,814.41, 23,715.08 and 6,448.07 is: 9,669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.41 : 23,715.08 = 6,448.07 : x
  2. Step 2: Convert to fraction form
    15,814.41/23,715.08 = 6,448.07/x
  3. Step 3: Cross multiply
    15,814.41x = 23,715.08 × 6,448.07
  4. Step 4: Simplify right side
    15,814.41x = 152,916,547.12
  5. Step 5: Solve for x
    x = 152,916,547.12/15,814.41
  6. Step 6: Final answer
    x = 9,669.45

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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.