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Finding the Fourth Proportional to 14,130.04, 19,454.76 and 10,762

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Solution

The fourth proportional to 14,130.04, 19,454.76 and 10,762 is: 14,817.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130.04 : 19,454.76 = 10,762 : x
  2. Step 2: Convert to fraction form
    14,130.04/19,454.76 = 10,762/x
  3. Step 3: Cross multiply
    14,130.04x = 19,454.76 × 10,762
  4. Step 4: Simplify right side
    14,130.04x = 209,372,127.12
  5. Step 5: Solve for x
    x = 209,372,127.12/14,130.04
  6. Step 6: Final answer
    x = 14,817.52

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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.