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Finding the Fourth Proportional to 25,712.84, 35,478 and 16,275.94

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Solution

The fourth proportional to 25,712.84, 35,478 and 16,275.94 is: 22,457.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,712.84 : 35,478 = 16,275.94 : x
  2. Step 2: Convert to fraction form
    25,712.84/35,478 = 16,275.94/x
  3. Step 3: Cross multiply
    25,712.84x = 35,478 × 16,275.94
  4. Step 4: Simplify right side
    25,712.84x = 577,437,710.63
  5. Step 5: Solve for x
    x = 577,437,710.63/25,712.84
  6. Step 6: Final answer
    x = 22,457.17

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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.