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Finding the Fourth Proportional to 17,547.78, 26,328.96 and 7,681.98

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Solution

The fourth proportional to 17,547.78, 26,328.96 and 7,681.98 is: 11,526.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,547.78 : 26,328.96 = 7,681.98 : x
  2. Step 2: Convert to fraction form
    17,547.78/26,328.96 = 7,681.98/x
  3. Step 3: Cross multiply
    17,547.78x = 26,328.96 × 7,681.98
  4. Step 4: Simplify right side
    17,547.78x = 202,258,544.14
  5. Step 5: Solve for x
    x = 202,258,544.14/17,547.78
  6. Step 6: Final answer
    x = 11,526.16

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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.