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Finding the Fourth Proportional to 14,267.40, 19,681.14 and 10,024.98

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Solution

The fourth proportional to 14,267.40, 19,681.14 and 10,024.98 is: 13,828.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,267.40 : 19,681.14 = 10,024.98 : x
  2. Step 2: Convert to fraction form
    14,267.40/19,681.14 = 10,024.98/x
  3. Step 3: Cross multiply
    14,267.40x = 19,681.14 × 10,024.98
  4. Step 4: Simplify right side
    14,267.40x = 197,303,034.88
  5. Step 5: Solve for x
    x = 197,303,034.88/14,267.40
  6. Step 6: Final answer
    x = 13,828.94

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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.