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Finding the Fourth Proportional to 16,705.17, 23,053.14 and 10,417.50

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Solution

The fourth proportional to 16,705.17, 23,053.14 and 10,417.50 is: 14,376.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.17 : 23,053.14 = 10,417.50 : x
  2. Step 2: Convert to fraction form
    16,705.17/23,053.14 = 10,417.50/x
  3. Step 3: Cross multiply
    16,705.17x = 23,053.14 × 10,417.50
  4. Step 4: Simplify right side
    16,705.17x = 240,156,085.95
  5. Step 5: Solve for x
    x = 240,156,085.95/16,705.17
  6. Step 6: Final answer
    x = 14,376.15

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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.