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Finding the Fourth Proportional to 21,374.78, 29,497.14 and 12,301.16

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Solution

The fourth proportional to 21,374.78, 29,497.14 and 12,301.16 is: 16,975.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,374.78 : 29,497.14 = 12,301.16 : x
  2. Step 2: Convert to fraction form
    21,374.78/29,497.14 = 12,301.16/x
  3. Step 3: Cross multiply
    21,374.78x = 29,497.14 × 12,301.16
  4. Step 4: Simplify right side
    21,374.78x = 362,849,038.68
  5. Step 5: Solve for x
    x = 362,849,038.68/21,374.78
  6. Step 6: Final answer
    x = 16,975.57

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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.