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Finding the Fourth Proportional to 21,412.47, 29,547.14 and 12,461.16

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Solution

The fourth proportional to 21,412.47, 29,547.14 and 12,461.16 is: 17,195.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,412.47 : 29,547.14 = 12,461.16 : x
  2. Step 2: Convert to fraction form
    21,412.47/29,547.14 = 12,461.16/x
  3. Step 3: Cross multiply
    21,412.47x = 29,547.14 × 12,461.16
  4. Step 4: Simplify right side
    21,412.47x = 368,191,576.78
  5. Step 5: Solve for x
    x = 368,191,576.78/21,412.47
  6. Step 6: Final answer
    x = 17,195.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.