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Finding the Fourth Proportional to 14,038.83, 19,373.28 and 7,665.54

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Solution

The fourth proportional to 14,038.83, 19,373.28 and 7,665.54 is: 10,578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,038.83 : 19,373.28 = 7,665.54 : x
  2. Step 2: Convert to fraction form
    14,038.83/19,373.28 = 7,665.54/x
  3. Step 3: Cross multiply
    14,038.83x = 19,373.28 × 7,665.54
  4. Step 4: Simplify right side
    14,038.83x = 148,506,652.77
  5. Step 5: Solve for x
    x = 148,506,652.77/14,038.83
  6. Step 6: Final answer
    x = 10,578.28

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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.