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Finding the Fourth Proportional to 14,458.95, 21,678.68 and 7,430.18

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Solution

The fourth proportional to 14,458.95, 21,678.68 and 7,430.18 is: 11,140.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,458.95 : 21,678.68 = 7,430.18 : x
  2. Step 2: Convert to fraction form
    14,458.95/21,678.68 = 7,430.18/x
  3. Step 3: Cross multiply
    14,458.95x = 21,678.68 × 7,430.18
  4. Step 4: Simplify right side
    14,458.95x = 161,076,349.02
  5. Step 5: Solve for x
    x = 161,076,349.02/14,458.95
  6. Step 6: Final answer
    x = 11,140.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.