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Finding the Fourth Proportional to 14,117.74, 19,482.63 and 7,830.52

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Solution

The fourth proportional to 14,117.74, 19,482.63 and 7,830.52 is: 10,806.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.74 : 19,482.63 = 7,830.52 : x
  2. Step 2: Convert to fraction form
    14,117.74/19,482.63 = 7,830.52/x
  3. Step 3: Cross multiply
    14,117.74x = 19,482.63 × 7,830.52
  4. Step 4: Simplify right side
    14,117.74x = 152,559,123.87
  5. Step 5: Solve for x
    x = 152,559,123.87/14,117.74
  6. Step 6: Final answer
    x = 10,806.20

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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.