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Finding the Fourth Proportional to 21,854.63, 30,142.98 and 15,151.47

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Solution

The fourth proportional to 21,854.63, 30,142.98 and 15,151.47 is: 20,897.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854.63 : 30,142.98 = 15,151.47 : x
  2. Step 2: Convert to fraction form
    21,854.63/30,142.98 = 15,151.47/x
  3. Step 3: Cross multiply
    21,854.63x = 30,142.98 × 15,151.47
  4. Step 4: Simplify right side
    21,854.63x = 456,710,457.18
  5. Step 5: Solve for x
    x = 456,710,457.18/21,854.63
  6. Step 6: Final answer
    x = 20,897.66

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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.