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Finding the Fourth Proportional to 21,233.90, 31,851.58 and 9,547.16

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Solution

The fourth proportional to 21,233.90, 31,851.58 and 9,547.16 is: 14,321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,233.90 : 31,851.58 = 9,547.16 : x
  2. Step 2: Convert to fraction form
    21,233.90/31,851.58 = 9,547.16/x
  3. Step 3: Cross multiply
    21,233.90x = 31,851.58 × 9,547.16
  4. Step 4: Simplify right side
    21,233.90x = 304,092,130.51
  5. Step 5: Solve for x
    x = 304,092,130.51/21,233.90
  6. Step 6: Final answer
    x = 14,321.07

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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.