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Finding the Fourth Proportional to 21,407.84, 29,548.76 and 12,457.07

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Solution

The fourth proportional to 21,407.84, 29,548.76 and 12,457.07 is: 17,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.84 : 29,548.76 = 12,457.07 : x
  2. Step 2: Convert to fraction form
    21,407.84/29,548.76 = 12,457.07/x
  3. Step 3: Cross multiply
    21,407.84x = 29,548.76 × 12,457.07
  4. Step 4: Simplify right side
    21,407.84x = 368,090,909.45
  5. Step 5: Solve for x
    x = 368,090,909.45/21,407.84
  6. Step 6: Final answer
    x = 17,194.21

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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.